Speed, Time and Distance Class Questions by Trilochan Puhan for SSC, Bank Railway etc exam
Average Speed
01. A man crosses a road of 250 meter wide in 75 seconds. His speed in km/hr is:
02. A car runs at the speed of 72 km/hr.
- How much time will it take to cover a bridge of 900 m?
- If the car crosses a bridge in 15 seconds, find the length of the bridge.
03. A distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, the ratio of the speed of the jogger to that of the cyclist is:
04. A man takes a total of 9 hours 50 minutes in walking a distance and running back to same place. He could walk both ways in 12 hours 20 minutes. The time taken by her to run both ways is:
05. An express train travelled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long it take to reach its destination 600 km from the starting point?
06. A train without stoppage travels with an average speed of 72 km/hr and with stoppages it travels with an average speed of 60 km/hr. For how many minutes does the train stop on an average per hour?
07. Speed of a train without stoppage is 80 km/hr and that of with stoppage is 70 km/hr. If stoppage time is 3 minutes, then find the number of stoppage in 2 hours.
08. A bus covers a certain distance at a speed of 30 m/sec but has a problem in the engine so the speed of the bus decreases 3 km/hr at the end of the every hour. Find the distance covered by the bus in 6 hours.
09. A bus starts running with the speed of 25 km/hr and its speed increased every hour by 7 km/h. How many hours will it take to cover a distance of 225 km?
10. Speed of a man is 90 km/h after every 24 minutes he reduces his speed by 5 km/h. If he has to travel 160 km, find out the time taken to cover this distance.
11. A person covers a distance of 760 km partly by train and partly by car. If he travels 160 km by train rest by car it takes 8 hours and if he covers 240 km by train and rest by car it takes him 12 minutes more to cover that distance. Find the speed of train and car.
12. A person covers a distance of 240 km partly by train and the rest by bus. He takes 3.5 hrs if he travels 150 km by train and the rest by bus. If he travels 140 km by bus and the rest by train, he takes 11/3 hrs. What is the speed of train?
13. A car travels 140 km partly at a speed of 6 km/h and the remaining at a speed of 10 km/h. If the speeds are reversed then it travels 8 km more in the same time. Then find the average speed of the car?
14. A man travels 430 km partly by rail and partly by steamer. He spends 10 hours more time on steamer. If the velocity of the steamer is 25 km/hr and the velocity of rail is 65 km/hr, how much distance does he cover by steamer?
15. A man travelled a distance of 72 km in 12 hours. He travelled partly on foot at 5 km/h and partly on bicycle at 10 km/h. The distance travelled on bicycle is:
16. An aeroplane first flew with a speed of 440 km/hr and covered a certain distance. It still had to cover 770 km less than what it had already covered but it flew with speed of 660 km/hr. The average speed for the entire flight was 500 km/hr. Find the total distance covered?
17. If a man travels 400 km by car in 8 hours, 60 km by bike in 3 hours and 90 km by bus in 4 hours. Find the average speed of the man.
18. A man travels from A to B at a speed of 36 km/hr in 74 minutes and he travels a distance from B to C with a speed 45 km/hr in 111 minutes. Find the average speed of whole journey.
19. A car covers a distance of 48 km at a speed of 40 km/h and another 52 km with a speed of 65 km/h. What is the average speed of the car (in km/h) for the total distance covered?
20. One third of a certain journey is covered at the speed of 80 km/hr, 25% of the journey at the speed of 50 km/hr and the rest at the speed of 100 km/hr. What will be the average speed (in km/hr) for the whole journey?
21. A car covers certain distance in 3 equal parts of the total time. Speed of the car first part in 38 km/hr, second part in 34 km/hr and 3rd part in 52 km/hr. Find average speed of car?
22. A man walks from point x to y at a speed of 20 km/hr but comes back from point y to x at a speed of 25 km/hr. Find his average speed.
23. A man goes to a place at a speed of 70 km/hr and comes back with a different speed. If the average speed is 17.5 km/hr, then what is the return speed (in km/hr)?
24. A car travels the first one-third of a distance with a speed of 10 km/hr. The next one-third with a speed of 20 km/hr and the last one-third distance with a speed of 60 km/hr. The average speed of car for whole journey was:
25. A man travels a certain distance in 3 equal parts by car at a speed of 50 km/hr, by bike at a speed of 20 km/hr and on foot at a speed of km/hr. The average speed of the man is 17 11/17, find the value of x.
26. A man goes to his office at the speed of 8 kmph and returns to his home at the speed of 12 kmph. If he takes total 15 hours, then what is the distance between his office and home?
27. A man walks from A to B and back in a certain time at the rate of 3.5 km per hour. But if he had walked from A to B at the rate of 3 km per hour and back from B to A at the rate of 4 km an hour, he would have taken 5 minutes longer. Find the distance between A and B.
28. A man starts Dhenkanal to Jagatsinghpur in 12 hours. He covers 20% of the total distance at the speed of 6 km/h and remaining distance at the speed of 8 km/h. What is the distance he travelled.
29. A boy goes with a speed of 3 km/h, but he covers half distance then he remembers that he forgot the book at home so he goes back home with a speed of 5 km/hr. He takes 4 hours for this process. How much speed should he increase to reach the school on time, if he normally takes 7 hours to reach the school.
30. A child leaves for school at 4 km/h. School is 8 km away from his home. After 5 minutes he remembered that he had forgotten his book at home. He returned back home with increased speed and reached school on time. Find his increased speed.
Partial Speed
31. The ratio of speed of three cars is 3 : 4 : 6. What is the ratio of time taken by the three cars to cover same distance.
32. While travelling from office to home, a person’s car got some problem, so he took 16.67% more time than his usual time to reach home. His speed is what percent less than his usual speed.
33. A train leaves puri 3 hour late. It increases speed to 140% and reach Howrah at scheduled time. Find its usual time to reach Howrah.
34. Walking at 3/4 of his usual speed, a person reaches his office 18 minutes later than usual time. His usual time in minutes is:
35. The distance between two cities is covered in 3.25 hours at a speed of 52 km/hr. If the speed is increased to 65 km/hr, how much time would he saved?
36. Walking at 80% of his usual speed a person reaches his office 15 minutes late on a particular day. The next day he walked at 5/4 of his usual speed. How early would he be to the office when compared usual time?
37. A train after covering 25% of total distance decreases its speed by 1/3 of its usual speed and reaches destination 1 hour 20 minutes late. Find usual time taken by train to cover complete distance.
38. A train travels 25% faster than a car. Both start from point A at the same time and reach point B, 165 km away at the same time. On the way the train takes 40 minutes for stopping at the stations. What is the difference in the speed (in km/hr) of the train and car?
39. A train after covering a distance of 80 km met with an accident and reduces its speed by 20% and reach destination 90 minutes late. Had an accident occurred 50 km before, it would have reached destination 100 minutes late. Find the usual speed and total distance.
40. A train after covering a distance of 50 km increases its usual speed by 2/5 and reach destination 120 minutes early. Had change in speed occurred 30 km further then it would had reached destination 100 minutes early. Find the speed, time and distance.
41. Two cyclist cover the same distance at 10 km/hr and 15 km/hr respectively. Find the distance travelled when one takes 15 minutes longer than the other.
42. Speed of father and his son is 12 km/hr and 15 km/hr. Then start from A towards B. If son leaves 39 minutes later than his father and reaches 21 minutes than his father. Find the distance between A and B.
43. A boy when goes to his school by 12 km/h, reaches 20 minutes late and when he covers the distance by 16 km/hr, reaches 5 minutes late. Find the distance from his home to school and also find the speed by which he may reach on time.
44. A man goes to his office at 24 km/hr reaches his office 5 minutes late. Had he driven 25% faster he would have reached 4 minutes earlier than the scheduled time. How far is his office?
45. If a man runs at 10 km/h, then he arrives at a certain place at 1 p.m. But if he increases his speed by 5 km/h then he reaches there at 11 a.m. At what speed must he run to get there at 12 p.m.
46. When a person increases his speed by 10 km/hr, he would take one hour less to reach the destination. If he increases speed by 20 km/hr, he would take 1 hour 45 minutes less to reach the destination. Find the distance covered by the person.
47. When a person decreases speed by 5 km/hr, reaches his destination 4 hour late. If he increases speed by 5 km/hr, he reaches 2 hours early. Find the usual time of the person.
48. If speed of a car increases by 5 km/hr of its usual speed, it would take 15 minutes less time to cover a distance of 90 km. Find the speed of the car.
49. The distance between railway station is 1176 km. To cover this distance, an express train takes 5 hours less than a passenger train while the speed of the passenger train is 70 km/hr less than that of the express train. The time taken by the passenger train complete the travel is:
50. A man left 9 minutes early than the scheduled time and in order to reach the destination 378 km away in time, it has to slow its speed by 6 km/hr from the usual. What is the usual speed (in km/hr) of the man?
- 56 B. 63 C. 94.5 D. 126
51. To travel 432 km, an express train takes 1 hour more than Duronto. If however, the speed of the express train is increased by 50%, it takes 2 hours less than Duronto. What is the speed (in km/hr) of Express train?
52. Train A takes 45 minutes more than train B to travel a distance of 450 km. Due to engine trouble speed of train B falls by a quarter, so it takes 30 minutes more than train A to complete same journey. What is the speed of Train A (in km/hr)?
53. 6 hours after a good train passed a station, another train travelling at a speed of 56 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 10 hours. What is the speed of the goods train?
54. A person started his journey in the morning . At 8:30 a.m. he covered 5/16 part of the journey and on the same day at 3:15 p.m. he covered 65% of the journey. He completed his journey at 10 : 15 p.m.
55. A man can reach a certain place in 5 hours. If he reduces his speed by 1/4 th, he comes 15 km less in that time. Find his initially speed in km per hour.
56. Two men A and B from P to Q, a distance of 21 km, at 3 km/hr and 4 km/hr respectively. B reaches Q, returns immediately and meets A at R. The distance from P to R is:
57. Two person P and Q start walking from A towards B. Distance between A and B is 60 km. Speed of P is 4 km/hr less than that of Q. After reaching at B person Q returns immediately to A then person Q meet person P at the distance of 12 km from B. What is speed of P and Q?
Relative Speed
59. From two places, 60 km apart A and B start towards each other at the same time and meet each other after 6 hours. If A travelled with of his usual speed and B travelled with double his speed they would have met after 5 hours. The speed of A is:
60. The distance covered by A in 10 hours is 27 km less than the distance covered by B in 12 hours. The distance covered by B in 8 hours is 7.5 km more than the distance covered by A in 9 hours. If they start moving towards each other from the two ends of a road, 4.2 km in length, at the same time, they will cross each other after?
61. Two car A and B started from a point P. Car A and Car B travels at 33 km/hr and 48 km/hr respectively.
- In how many seconds will they be separated by 1530m if they travel in opposite direction.
- Find the distance between them after 51 sec, if they travel in same direction.
62. Car A and Car B started from a same place. Speed of A is 45 km/hr, then find the speed of car B.
- After 1 minute the distance between them is 1800m if they travel in opposite direction.
- After 1 minute the distance between them is 300m if they travel in same direction.
63. Distance between two places A and B is 270 km. Two cars P and Q start from A and B and travel towards B and A at speed of 50 km/h and 58 km/h respectively.
I. How long will they take to meet each other?
II. In how many minutes will they be separated by 90 km before meeting each other?
III. How far from A, will they cross each other.
IV. What is distance (in m) between the two cars 15 seconds before they collide?
64. Distance between Puri and Sambalpur is 348 km. Two car start from Puri and Sambalpur towards each other at a same time and meet after 4 hours. Speed of one car is 8 km/hr faster than other. Find the distance travelled by the slower car and speed of the faster car.
65. The distance between the two stations is 500 km. A train starts from A at 9 a.m. and travels towards station B at 10 a.m. and travels towards A at 40 km/hr. At what time both the train meet to each other.
66. Two people A and B are at a distance of 260 km from each other at 9.00 a.m. A immediately starts moving towards B at a speed of 25 km/hr and at 11.00 a.m. Bstarts moving towards A at a speed of 10 km/hr. At what time (in p.m.) will they meet each other?
67. A person starts to walk from A at 7 a.m. and reaches at B at 10. a.m. and a person from B starts to walk at 7 a.m. and reaches at A and 1 p.m. Find the time at which they will meet.
68. A person from A starts to walk at 6 a.m. and reaches at B at 2 p.m. similarly a person from B starts to walk at 8 a.m. and reaches at A and 3 p.m. Find the time at which they meet each other.
69. P and Q are 27 km away. Two cars A and B with speed 24 km/hr and 18 km/hr respectively starts simultaneously from P and Q and travel in the same direction.
- How long will they take to meet each other at R?
- How far from P will A catch B?
- What is the distance (in km) between them after 1 hour 25 minutes?
- In how many minutes will they separated by 7 km before meeting each other?
70. A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km/hr and 11 km/hr respectively. What is the distance between them after 6 minutes?
71. A thief is stopped by a policeman from a distance of 150 meters. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 7 km/hr and that of policeman as 9 km/hr, how far the thief would have run, before he is overtaken by the policeman?
72. A man starts running from point P at 11.00 a.m. with speed of 10 km/hr. He runs for 2 hours and then takes 1 hour rest. He continues this till he is caught by another man who starts man at 2:00 p.m. from point P and runs non-stop at a speed of 15 km/hr towards the first man. At what time (in p.m) will the first man be caught?
73. A boy started from his house on bicycle at 10 a.m.at a speed of 12 km per hour. His elder brother started after 1 hr 15 mins on scooter along the same path and caught him at 1 : 30 p.m. The speed of the scooter will be (in km/hr)?
74. A bus moving at a speed of 45 km/hr catches a truck 150 meters ahead going in the same direction in 30 seconds. The speed of the truck is:
75. After an accident a driver ran away with speed of 30 m/sec. Police station is 600 m far from the spot. After 3 minutes police came on spot and after 2 minutes of inspection police started chasing driver with a speed of 40 m/sec. After how much time police will catch driver. Also find the distance covered by driver just he was caught?
76. A dog is chasing a rabbit. Initially distance between them is 400 leaps of dog rabbit. The time taken by dog to take 4 leaps is equal to 6 leaps taken by rabbit in that time. Rabbit covers 1.5 m in 1 leap and dog covers 2.5 m in 1 leap. In how many leaps will the dog catch the rabbit?
77. One car starts from A another car starts from B at the same time. If the car travels in the same direction, they meet in 5 hours. If the car travels towards each other, they meet in 1 hour. If the speed of the faster car is 60 km/h, find the distance between A and B.
78. Prashant Exp and Humsafar Exp travelling at a speed 60 km/hr and 90 km/hr leaves BBSR for Bangalore at 5 a.m. and 8 a.m. respectively. Duronto Exp leaves Bangalore for BBSR at 9 a.m. If all the three trains meet at the same time between BBSR and Bangalore, then what is the speed of Duronto Exp.
79. A bus leaves after 15 minutes. A person is running towards bus then he catches the bus after 12 minutes. If speed of bus is 16 km/hr. Find speed of man.
80. Two bomb blast at an interval of 10 minutes. A person running away from that place hears the two blasts at an interval of 12 minutes. If speed of sound is 330 m/s find the speed of the person and the distance he covered by running away from the blast.
81. The driver of an ambulance sees a bus 40 m ahead of him, after 20 seconds, the bus is 60 meter behind. If the speed of the ambulance is 30 km/h, what is the speed of the bus?
82. A car moving in the morning fog passes a man walking at 4 km/hr in the same direction. The man can see the car for 3 minutes and visibility is up to a distance of 130 m. The speed of the car is:
83. A man could see 400 m during fog. When he was moving with 4 km/hr, he saw a train coming behind and disappeared in 3 minutes. If the length of the train is 200 m, find the speed of the train.
84. Two busses travel between two cities along the same route. The first bus travels at 60 km/hr and the second bus travel at 50 km/hr. The second bus starts 30 minutes after first bus starts from the same cities. After 3 hours of journey in the first bus, a man decides to travel in the second bus. He get down and start walking at 5 km/hr towards the second bus. How much time he walk before he catches the second bus.
85. A train approaches a tunnel AB. Inside the tunnel a cat located at a point i.e. of the distance AB measured from the entrance A. When the train whistles, the cat runs. If the cat moves to entrance of the tunnel A, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat exactly the exit. Find the speed of train and cat.
86. Two trains, A and B, start from stations X and Y towards each other, they take 4 hours 48 minutes and 3 hours 20 minutes to reach Y and X respectively after they meet. If train A is moving at 45 km/hr, then the speed of the train B is:
87. A and B started simultaneously towards each other from places X and Y, respectively. After meeting at a point M on the way A and B took 3.2 hours and 7.2 hours, to reach Y and X respectively. Then how much time (in hours) they took to reach at point?
88. A boy and his girlfriend start from cuttack and khurda towards khurda and cuttack respectively, at the same time. After sometime they meet at Vani vihar on the way from cuttack to khurda. The boy reduces his speed by 33.33% and returns to cuttack and his girlfriend increases his speed by 33.33% and returns to khurda. If the boy takes 2 hours for the entire journey, what is the time taken by his girlfriend for the entire journey?
89. Two people started simultaneously towards each other from A and B, which are 60 km apart. They meet 5 hours later. After their meeting, the first person, who travelled from A to B, decreased his speed by 1.5 km/h. The other person, who travelled from B to A, increased his speed by 1.5 km/hr. The first person is known to arrive at B 2.5 hours earlier than the second person arrived at A. Find the initial speed of the first person.
58. Ganga, Yamuna and Saraswati went out for a 100 km journey. Ganga and Saraswati started the journey in Ganga’s car at the rate of 25 km/hr, while Yamuna walked at 5 km/hr. After some time Saraswati got off and started walking at the rate of 5 km/hr and Ganga went back to pick up Yamuna. All three reached the destination simultaneously. What was the number of hours required for the trip?
Train
91. A train 300 m long is running at the speed of 90 km/hr.
- The time (in seconds) in which it passes a man standing near the railway line is:
- The time (in seconds) in which it passes a bridge 250 m long is:
92. If a train with a speed of 60 km/hr, crosses a platform and a pole in 72 seconds and 30 seconds.
- Find the length (in meters) of the train.
- Find the length (in meters) of the platform.
93. A 180 m long train crosses a platform whose length is double the length of the train length in 24 seconds.
- Find the speed (in km/hr) of train.
- Find the time (in second) taken to pass a tunnel 450 m long.
94. A train crossed a 120 m long platform in 12 seconds and 165 m long platform in 15 seconds.
- The speed (in km/hr) of the train is:
- The length of the train (in meters) is:
95. How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
96. A 200 m long train crosses a man running at 9 km/hr in the same direction in 20 seconds. Find the speed of the train.
97. A train running at 72 km/hr takes 20 seconds to pass a stationary train and the train takes 6.5 seconds to pass a car running at 36 km/hr in the opposite direction. Find the length (in meters) of the stationary train.
98. Two trains 140 m and 160 m long run at a speed 67 km/hr and 77 km/hr respectively. How long will they take to cross each other,
- If they are running in opposite direction?
- If they are running in same direction?
99. Train A travelling at 63 km/hr takes 27 seconds cross Train B, when travelling in opposite direction where as it takes 162 sec to overtake it when travelling in the same direction. If the length of train B is 500 meters, find the length of the train B.
100. An express train and a passenger train at 78 km/hr and 42 km/hr respectively. When they travel in opposite direction, they take 7.2 seconds to cross each other. When they travel in the same direction, the guard of the express train observes that he crosses the passenger train in 10 seconds. The respective lengths of the trains are:
101. Length of Train A is 400 m and length of Train B be is meters more than A. If speed of both train A and B is equal and they cross a pole in 16 seconds and 24 seconds respectively, then in what time train B will cross 400 m long platform.
102. A train crosses a pole in 15 seconds and a man who travelling at 18 km/hr in opposite direction in 12 seconds. Find the length (in meters) of the train.
103. A train crosses a post in 12 sec and a man standing in another train going in same direction in 20 sec. If speed of another train is 24 km/hr, then find the length of the first train.
104. A man standing on a platform finds that a train takes 6 seconds to pass him and another train of same length moving in the same direction, takes 9 seconds. The time taken by trains to pass each other will be:
105. Two trains having ratio of length 8 : 9 cross a pole in 5 sec and 6 sec respectively. In what time they will cross each other going in the same direction?
106. Two trains cross a man standing on a platform in 18 seconds and 24 seconds. While cross each other coming from same direction in 110 seconds. Find the ratio of speed of the trains.
107. Two trains cross a person standing on a platform in 28 seconds and 10 seconds respectively. While cross each other coming from opposite direction in 20 seconds. Find the ratio of speed of the trains.
108. A train passes two men who are walking opposite to the train at speed 7 m/sec and 12 m/sec in 5 seconds and 4 seconds respectively. Find the length of the train.
109. A train crosses two men who are walking along the track at speed 3 km/hr and 4 km/hr in the same direction of the train in 15 seconds and 18 seconds respectively. Find the length of the train.
110. Train A crosses the man in 10 seconds running with a speed of 8 m/sec in the same direction. After some time train A cross the engine of train B of length 10 m in 5 seconds coming with the speed of 12 m/sec from opposite direction. Find the length and speed of the train.
Boat and Stream
111. A person can row a distance one km upstream in 10 minutes and downstream in 4 minutes. What is the speed of the stream?
112. A boat travels 24 km upstream in 6 hours and 20 km downstream in 4 hours. The speed of the boat in still water and the speed of the current are respectively.
113. A man can row 25 km upstream in 5 hours. If the man’s rowing rate in still water is 8 km/hr, in what time will he cover 55 km downstream?
114. If the speed of a boat in still water is 18 km/hr and the speed of stream is 6 km/hr, find the time taken to cover 30 km going in downstream and returning upstream.
115. To cover the same distance of 340 km in both upstream and downstream, a person takes a total of 44 hours. If the speed of the stream is 12 km/ hr, then find the speed of the boat in still water.
- 26 km/hr B. 22 km/hr C. 20 km/hr D. 24 km/hr
116. A boat takes 15 hours to go along the stream and 25 hours to return to the same distance against the stream. Find the time taken by boat in still water?
117. A man can row at a speed of 7.5 km/hr in still water. He goes to a certain point upstream and back to the starting point in a river which flows at 1.5 km/hr. Find his average speed for total journey.
118. A man goes down stream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10 km/hr and 4 km/hr respectively, the distance of the destination fro the starting place is:
119. A man can row 6 km/hr in still water. If the speed of the current is 2 km/hr, he takes 4 hours more in upstream than in downstream. The distance is:
120. A boat takes 4.5 time in moving a certain distance downstream than upstream. The ratio of the speed of the boat in still water and that of the current is:
121. A boat goes 6 km an hour in still water, it takes thrice as much time in going the same distance against the current comparison to the direction of current. The speed of the current (in km/hr) is:
122. A man can rows to a place 63 km far and comes back in 16 hours. He finds that he can row 18 km with the flow in the same time taken to row 14 km against the flow. What is the speed of the stream?
123. Speed of the boat in still water and speed of the current in the ratio 4 : 3 and the difference between distance covered by boat in 3 hours upstream and in 3 hours downstream is 54 km. Find the speed of the boat in still water?
124. A boat covers a certain distance in 4 hours in upstream and covers 2 km less distance in downstream in 3 hours. If the speed of the stream is 2 km/hr, then find the distance covered by boat in upstream.
125. A boat goes 48 km upstream and 36 km downstream in 11 hours. The same boat goes 48 km downstream and 36 km upstream in 10 hours. What is the speed (in km/hr) of the stream?
126. A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6.5 hours. What is the speed (in km/hr) of the boat in still water?
127. A boat goes 4 km upstream and 4 km downstream in 1 hours. The same boat goes 5 km downstream and 3 km upstream in 55 minutes. What is the speed (in km/hr) of the boat in still water?
128. A boat can go 5 km upstream and 7.5 km downstream in 45 minutes. It can also go 5 km downstream and 2.5 km upstream in 25 minutes. How much time (in minutes) will it take to go 6 km upstream?
129. A motor boat went downstream for 24 km and immediately returned. It took the boat 5 hours to complete the round trip. If the speed of the river were twice as high, the boat would cover 21 km upstream and immediately returned in the same time. Find the speed of the boat in still water?
130. Swimmer swims from a point ‘A’ against current for 5 minutes and then swims backward in favour of current for next 5 minutes and comes to the point ‘B’. If AB = 100 meters, then speed of the current (in km/hr) is:
131. On a river, Q is the mid-point between two points P and R on the same bank of the river. A boat can go from point P to Q and back in 12 hours and from P to R in 16 hours 40 minutes. How long would it take to go from R to P.
132. A ship 60 km from the shore springs a leak which admits 6 metric tons of water in 10 minutes. A quantity of 72 metric tons would suffice to sink, but the pump can throw out 24 metric tons in an hour. The average rate of sailing so that it just reaches the shore as it begins to sink should be:
133. Mariya was travelling in her boat when the wind blew her hat off and the hat started floating back downstream. The boat continued to travel upstream for twelve more minutes before Mariya realized that her hat fallen off and turned back downstream. She caught up with that as soon as it reached the starting point. Find the speed of the river if Mariya’s hat flew off exactly 3 km from where he started.
Race
134. In a 1500 m race, X beats Y by 100 m and X beats Z by 240 m. By what distance does Y beat Z in the same race?
135. In a 1500 m race, Anil beats Bakul by 150 m and in the same race Bakul beats Charles by 75 m. By what distance does Anil beat Charles?
136. In a linear race of 500 m, A can beat B by 50 m and in a race of 600 m, B can beat C by 60 m. By how many metres will A beat C in a race of 400 m?
137. In a car race, Anthony beats Amar by 14 m, Akbar beats Anthony by 20 m and beats Amar by 32 m. The distance (in meters) over which the race has been conducted is:
138. In a linear race of 500 m, A can beat B by 50 m and in a race of 600 m, B can beat C by 60 m. By how many metres will A beat C in a race of 400 m?
139. In a 1170 m race, Raman reaches the final point in 65 seconds and Mohan reaches the final point in 90 seconds. By how much distance does Raman beat Mohan?
140. In 300 m race P beats Q by 22.5 m or 6 seconds. What is Q’s time over the course?
141. P gives Q a head start of 2 seconds in a 400 m race, but both finish the race at the same time. Find the time taken by P to finish the race if the speed of Q is 2 m/sec.
142. In a 400-metre race, A runs at a speed of 16 m/sec. If A gives B a start of 15 metres and still beats him by 10 sec, then what is the speed of B?
143. In a 1500 m race, if vehicle P gives vehicle Q a start of 200 m, then vehicle P wins the race by 8 sec. Alternatively, if vehicle P gives vehicle Q a start of 400 m, the race ends in a dead heat. How long does vehicle P take to run 1500 m?
144. In a kilometer race, A beats B by 30 seconds and B beats C by 15 seconds. If A beats C by 180 meters, the time taken by A to run 1 km is:
145. Mohan and Sohan start running on a circular track of length 420 meters from same point simultaneously in the same direction with speed of 3 m/s and 7 m/s.
- After how much time from the start, they will meet again at the starting point?
- After how much time from the start, they will meet for the first time after the start?
146. Mohan and Sohan start running on a circular track of length 420 meters from same point simultaneously in the opposite direction with speed of 3 m/s and 7 m/s.
- After how much time from the start, they will meet again at the starting point?
- After how much time from the start, they will meet for the first time after the start?
- After how much time and how far from the start, they will meet for the sixth time in the direction of Rakesh.
147. In a circular race track of length 100 m, Ganga, Yamuna and Saraswati start together. Ganga and Yamuna start in the same direction at the speeds of 10 m/s and 8 m/s respectively. While Saraswati runs in the opposite at 15 m/s.
- When will all the three meet for the first time after the start?
- After how much time from the start, they will meet again at the starting point.
148. Two persons started running on a circular track, simultaneously with speeds 20 m/s and 30 m/s in opposite directions. If the circumference of the circular track is 100 m, then find at how many distinct points they will cross each other?
149. Two friends P and Q simultaneously start running from same point around a circular track. They run in the same direction. P runs at 6 m/sec and Q runs at b m/sec. If they cross each other at exactly two points on the circular track and b is a natural number less than 6, then how many values can b take?