TIME, SPEED AND DISTANCE
1. X and Y start their journey at the same time from place A to B, respectively. After meeting each other on the way, X and Y complete their journey X and Y start their journey at the same time from place A to B, respectively. After meeting each other on the way, X and Y complete their journey in 5 hours and p hours respectively. If the speed of X is 28 4/7% is more than that of Y, then what is the value of p?
A) 4
B) 9
C) 8
D) 6
2. A car travels at 45 km/h for 2 hours, at 40 km/h for next 3
hours and at 60 km/h for another 4
hours. What is the average speed (in km/h) of the car for the entire journey?
A) 49.5
B) 47.4
C) 48.3
D) 47.2
3. A car travels for 40 minutes at a speed of 40 km/h, for another 50 minutes at a speed of 45 km/h and for next 90 minutes at a speed of 60 km/h. what is the average speed (in km/h) of the car for the entire journey?
A) 49
B) 50
C) 51
D) 50
4. A man travels for 4 hours at a speed of 75 km/h, for next 6 hours at a speed of 65.5 km/h and for next 2 hours at a speed of 54 km/h. What is his average speed (in km/h) for the entire journey?
A) 64
B) 64
C) 66
D) 65
5. A car travels at a speed of 50 km/h for 2 hours, at a speed of 30 km/h for 4
hours. What is the average speed (in km/h) of the car for the entire journey?
A) 40.1
B) 39.1
C) 41.9
D) 39.9
6. Aman travels a certain distance at x km/h. In the return journey, he covers 20% of the same distance in 35% of the time taken to cover the earlier distance. For the remaining part of the return journey, if his speed is y km/h, and he can cover the entire return journey in the same time as for the onward journey, then which of the following is true?
A) 15y = 19 x
B) 13y = 16 x
C) 11y = 15 x
D) 8y = 15x
7. A man travels from point A to B at 40 km/h, further from B to C at 50 km/h, and then further from C to D at 60 km/h. the ratio between the distance AB, BC and CD is 1:2:3. He returns from D to A at x km/h. if his average speed for the entire journey is 480/13 km/h, then what is the value of x?
A) 25
B) 34
C) 𝟑𝟐
D) 28
8. 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 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?
A) 24 minutes
B) 21 minutes
C) 23 minutes
D) 24 minutes
9. A man travels from a point A to B at the speed of 50 km/h and then further from B to C at 75 km/h. then, he returns from C to A at x km/h. if the ratio of the distance between A to B and B to C is 2:3, respectively, and the average speed for the entire journey is 61 km, then what is the value of x?
A) 65
B) 64.5
C) 60
D) 62.5
10. a and b started walking from place x to y, and from place y to x at the same day and time respectively. After crossing each other, they completed their remaining journeys in 5 hours and p hours respectively. If the ratio of the speeds (km/h) of a and b is 6:7, then what will be the value of p?
A) 6
B) 5
C) 4
D) 7
11. A man travels from a city X to city Y. If he travels 25% faster thanhis speed, he would reach Y 15 minutes early. By how many minutes would he be late if he travels 40% slower than his usual speed?
A) 36
B) 50
C) 40
D) 45
12. X and Y start their journey at the same time from place A to B, respectively. After meeting each other on the way, X and Y complete their journey X and Y start their journey at the same time from place A to B, respectively. After meeting each other on the way, X and Y complete their journey in 5 hours and p hours respectively. If the speed of X is 28
% is more than that of Y, then what is the value of p?
A) 4
B) 9
C) 8
D) 6
13. The driver of a car driving at 82 km/h locates a bus 150 m ahead of him. After 18 seconds, the bus was 90 m behind the car. What is the speed (in km/h) of the bus?
A) 34
B) 36
C) 32
D) 38
14. In a race, Anil defeated Bhushan by 30 seconds. In the same race, Bhushan defeated Raghav by 60 seconds. The speed of Bhusan is equal to the average speed of Anil and Raghav. What is the time (in seconds) taken by Anil to complete the race?
A) 90
B) 75
C) 80
D) 60
15. A man started his journey early in the morning. By 10 in the morning, he had completed 33 % of his journey and by 1:00 pm on the same day he had completed 5/6 part of his journey. At what time in the morning did he start his journey? (Consider his move the same throughout the time)
A) 9:00
B) 7:30
C) 8:00
D) 8:30
16. A takes 2 hours more than B to cover a diatance of 40 km. if A double his speed, he takes 1 hours more than B to cover 80 km. to cover a distance of 120 km, how much time (in minutes) will B take travelling at his same speed?
A) 75
B) 90
C) 100
D) 80
17. For a journey of 100 km, train A takes 30 minutes less time than train B. If the speed of train B is 10 km/h less than that of train A, then what is the speed (in km/h) of train A?
A) 40
B) 45
C) 50
D) 60
18. Two trains P and Q leave stations A and B, respectively, at the same time and travel towards each other. After crossing each other, P and Q take x hours and 8 hours to reach B and A, respectively. If the speed of Q is 25% more than that of P, then what is the value of x?
A) 10
B) 12
C) 10
D) 12
BOAT AND STREAM
1. A boat can go 2.4 km upstream in 16 minutes. The ratio of the speed of the boat in still water to the speed of the stream is 8 : 3. How much time (in hours) will the boat take to go 21.6 km in still water and 33 km downstream?
A) 5/2
B) 19/6
C) 17/6
D) 10/3
2. A motorboat can go to 8.4 km downstream and 4.8 km upstream in 1 hour. It can go 17.5 km downstream and 9 km upstream in 2 hours. How much time (in hors) will it take to go 31.2 km in still water?
A) 2.4
B) 1.3
C) 3.9
D) 1.2
3. The speed of a boat in still water is 25 m/s. The speed of the earth is 3 cm/h. Let the boat take a total of x hours to cover a distance of 112 cm in the upstream and then 44 cm in the upstream. , and the boat takes a total of y hours to travel 112 cm upstream and 44 cm upstream. Find the value of x+y in hours?
A) 575/77
B) 975/77
C) 915/77
D) 475/77
4. A boat can go 9 km downstream and 4 km upstream in 2 hours. It can go 15 km downstream and 6 km upstream in 4 hours. How much time will it take to go 8 km downstream and 10 km upstream?
A) 3 hours 30 minutes
B) 4 hours 10 minutes
C) 3 hours 50 miutes
D) 3 hours
5. The speed of a boat in still water is 18 km/h and the speed of the current is 6 km/h. In how much time ( in hours) will the boat travel a distance of 90 km upstream and 72 km distance of downstream?
A) 10.5
B) 12
C) 11.5
D) 9
6. A boat rows 5 km upstream and 6 km downstream in a total of 2 hours. It can also row 15 km upstream and 14 km downstream in a total of 5 hours. How much time (in hours) will it take to row 32.4 km in still water?
A) 4.8
B) 5.4
C) 3.6
D) 8.1
7. The ratio of the speed of the stream and the speed of a boat in still water is 3 : 13. The boat travels upstream for 2 hours, and then returns to the starting point. How much time (in hours) will it take for the return journey?
A) 1
B) 1
C) 1
D) 1
8. The time taken by a boat to go a certain distance downstream is two-third of the time taken by the boat to go the same distance upstream. If two times the speed of the boat in still water is 10 km/h more than 7 times the speed of the stream, then what is the speed (in km/h) of the stream?
A) 3
B) 2
C) 4
D) 2
9. A boat can go 5 km upstream and 4 km downstream in 36 minutes. It can also go 10 km downstream and 8 km upstream is 63 minutes. What is the ratio of the speed of the boat in still water to the speed of the current?
A) 1:5
B) 3:5
C) 5:1
D) 5:3
10. In a total time of 7 hours a boat can cover 72 km upstream and the same distance downstream. The speed of the current with the speed of the boat in still water is 80% less. How much time (in hours) will it take to cover a distance of 60 km in the direction of the boat?
A) 2
B) 3
C) 3
D) 2
TRAIN
1. For a journey of 100 km, train A takes 30 minutes less time than train B. If the speed of train B is 10 km/h less than that of train A, then what is the speed (in km/h) of train A?
A) 40
B) 45
C) 50
D) 60
2. The speeds of train A and train B are 46.8 km/h and 61.2 km/h, respectively. The lengths of A and B are in the ratio 3:5. When running in the opposite direction. They cross each other completely in 12 seconds. How much time (in seconds) will train B take to cross a 336 m long tunnel?
A) 30
B) 35
C) 28
D) 33
3. A 250 m-long train passes a man going at a speed of 10 km/h, in the opposite direction, in 9 seconds. How much time (in seconds) will the train take to overtake a 200 m-long train completely, running at a speed of 63 km/h in the same direction?
A) 40
B) 60
C) 45
D) 50
4. The ratio of lengths of Train A and Train B is 2 : 3. The speed of A is 36 km/h and that of B is 54 km/h. They cross each other completely in 10 seconds when travelling in opposite directions. In how much time (in seconds) does Train B cross completely a tunnel of length 450 m?
A) 60
B) 45
C) 40
D) 50
5. The length of train A is 4/5 of the length of train B. The speeds of A and B are 63 km/h and 45 km/h respectively. Trains A and B take 15 seconds to cross each other completely when running in opposite directions. How much time (in seconds) will train C of length 160 m, running at a speed of 90 km/h, take to cross train A when both the trains are running in the same direction?
A) 42
B) 50
C) 45
D) 48
6. The speed of a train is 42 km/h. it crosses an electric pole in 27 seconds and a platform in 51 seconds. What is the length (in m) of the platform?
A) 280
B) 300
C) 250
D) 315