Time and Distance - Question Bank

1. Two trains start from points A and B towards each other. The first train travels at 50 km/hr and the second at 60 km/hr. They meet after 3 hours. If the second train had started 1 hour later, how much later would they have met?
A) 30 minutes
B) 40 minutes
C) 45 minutes
D) 1 hour
2. A train 220 meters long is moving at 60 km/hr. In how much time will it pass a man standing on the platform?
A) 10 seconds
B) 12 seconds
C) 13.2 seconds
D) 15 seconds
3. A boat's speed in still water is 10 km/hr. It takes 4 hours to travel upstream to a certain place and 3 hours to return. What is the speed of the stream?
A) 1 km/hr
B) 1.5 km/hr
C) 2 km/hr
D) 2.5 km/hr
4. A train travels at 60 km/hr for 2 hours and then at 80 km/hr for 3 hours. What is the total distance covered?
A) 300 km
B) 320 km
C) 340 km
D) 360 km
5. Two trains, A and B, running in opposite directions, cross each other in 10 seconds. Train A is 150 meters long and travels at 60 km/hr. Train B is 200 meters long and travels at 40 km/hr. What is the length of Train B?
A) 100 meters
B) 150 meters
C) 200 meters
D) 250 meters
6. A person covers 60 km distance in 6 hours. To cover the same distance in 4 hours, what should be their average speed?
A) 12 km/hr
B) 15 km/hr
C) 18 km/hr
D) 20 km/hr
7. A train passes a platform in 10 seconds and a bridge of twice its length in 25 seconds. What is the ratio of the speed of the train to the speed of the bridge (if bridge had speed)?
A) 1:1
B) 2:1
C) 3:2
D) 4:3
8. A boat travels downstream at 15 km/hr and upstream at 9 km/hr. What is the speed of the stream?
A) 3 km/hr
B) 4 km/hr
C) 5 km/hr
D) 6 km/hr
9. Two trains start from the same point at the same time in opposite directions. One travels at 60 km/hr and the other at 75 km/hr. After 40 minutes, how far apart will they be?
A) 80 km
B) 90 km
C) 100 km
D) 110 km
10. A train 150 meters long passes a signal post in 15 seconds. How long will it take to pass a platform 250 meters long?
A) 25 seconds
B) 30 seconds
C) 35 seconds
D) 40 seconds
11. A person travels from city X to city Y at 30 km/hr and returns from Y to X at 50 km/hr. What is the average speed for the entire journey?
A) 35 km/hr
B) 37.5 km/hr
C) 40 km/hr
D) 42.5 km/hr
12. A train takes 18 seconds to pass a platform 160 meters long and 12 seconds to pass a pole. What is the length of the train?
A) 240 meters
B) 250 meters
C) 260 meters
D) 270 meters
13. A boat moves downstream at 14 km/hr and upstream at 8 km/hr. What is the speed of the boat in still water?
A) 10 km/hr
B) 11 km/hr
C) 12 km/hr
D) 13 km/hr
14. Two trains start from points A and B towards each other. The first train travels at 50 km/hr and the second at 40 km/hr. If the distance between A and B is 360 km, how far from A will they meet?
A) 150 km
B) 180 km
C) 200 km
D) 220 km
15. A man walks at 6 km/hr. How many hours will it take him to walk 27 km?
A) 3.5 hours
B) 4 hours
C) 4.5 hours
D) 5 hours
16. A train of length 250 meters crosses a bridge of length 250 meters in 20 seconds. What is the speed of the train?
A) 20 m/s
B) 25 m/s
C) 30 m/s
D) 35 m/s
17. Two trains are running on parallel tracks in the same direction at speeds of 70 km/hr and 50 km/hr. In how much time will they be 1 km apart if they start side by side?
A) 1 minute
B) 1.5 minutes
C) 2 minutes
D) 2.5 minutes
18. A car travels the first 100 km at 50 km/hr and the next 100 km at 75 km/hr. What is the average speed for the entire journey?
A) 55 km/hr
B) 60 km/hr
C) 62.5 km/hr
D) 65 km/hr
19. A train traveling at 40 km/hr passes a person in 12 seconds. What is the length of the train?
A) 100 meters
B) 133.33 meters
C) 150 meters
D) 200 meters
20. Two trains start at the same time, one from A to B and the other from B to A. After crossing each other, they take 8 hours and 4.5 hours respectively to reach their destinations. What is the ratio of their speeds?
A) 2:3
B) 3:4
C) 4:5
D) 5:6
21. A man can row a boat at 15 km/hr in still water. If the speed of the stream is 5 km/hr, how long will he take to go to a place 60 km away and come back?
A) 6 hours
B) 7 hours
C) 8 hours
D) 9 hours
22. A train 300 meters long is running at 75 km/hr. How long does it take to cross a platform 200 meters long?
A) 15 seconds
B) 18 seconds
C) 20 seconds
D) 24 seconds
23. A car travels 100 km in 2.5 hours. To cover the same distance in 2 hours, what should be its new average speed?
A) 40 km/hr
B) 45 km/hr
C) 50 km/hr
D) 55 km/hr
24. Two persons A and B start walking from the same point at the same time in opposite directions. A walks at 5 km/hr and B walks at 7 km/hr. How far apart will they be after 2 hours?
A) 12 km
B) 20 km
C) 24 km
D) 30 km
25. A train passes a platform of length 150 meters in 15 seconds and a signal post in 9 seconds. What is the length of the train?
A) 200 meters
B) 225 meters
C) 250 meters
D) 275 meters
26. A boat travels upstream at 8 km/hr and downstream at 12 km/hr. What is the speed of the boat in still water?
A) 9 km/hr
B) 10 km/hr
C) 11 km/hr
D) 12 km/hr
27. A train 180 meters long is running at 90 km/hr. In what time will it pass a man standing near the railway line?
A) 6.4 seconds
B) 7.2 seconds
C) 8.0 seconds
D) 9.0 seconds
28. Two trains start from the same station at the same time in the same direction. Their speeds are 40 km/hr and 60 km/hr. What is the distance between them after 30 minutes?
A) 5 km
B) 10 km
C) 15 km
D) 20 km
29. A person walks 20 km in 5 hours. How much faster must they walk to cover the same distance in 4 hours?
A) 0.5 km/hr
B) 1 km/hr
C) 1.5 km/hr
D) 2 km/hr
30. A car travels at 40 km/hr for the first hour and 60 km/hr for the second hour. What is its average speed over the two hours?
A) 45 km/hr
B) 48 km/hr
C) 50 km/hr
D) 52 km/hr
31. A train takes 9 seconds to pass a pole and 15 seconds to pass a platform 120 meters long. What is the length of the train?
A) 150 meters
B) 180 meters
C) 200 meters
D) 240 meters
32. A boat can travel at 10 km/hr in still water. If the speed of the stream is 2 km/hr, what is the time taken to cover a distance of 48 km downstream?
A) 3 hours
B) 3.5 hours
C) 4 hours
D) 4.5 hours
33. Two trains start from points P and Q towards each other at speeds of 50 km/hr and 30 km/hr respectively. If they meet after 3 hours, what is the distance between P and Q?
A) 200 km
B) 220 km
C) 240 km
D) 260 km
34. A train 200 meters long passes a man standing on a platform in 10 seconds. What is the speed of the train?
A) 15 m/s
B) 18 m/s
C) 20 m/s
D) 25 m/s
35. A person walks from point A to point B at 4 km/hr and returns from B to A at 6 km/hr. What is the average speed for the entire journey?
A) 4.5 km/hr
B) 4.8 km/hr
C) 5 km/hr
D) 5.2 km/hr
36. A train moving at 54 km/hr crosses a signal post in 8 seconds. What is the length of the train?
A) 100 meters
B) 120 meters
C) 150 meters
D) 180 meters
37. Two cyclists start from the same point to cover a distance of 60 km. One cyclist travels at 15 km/hr and the other at 10 km/hr. How much time will the faster cyclist save?
A) 1 hour
B) 1.5 hours
C) 2 hours
D) 2.5 hours
38. A car travels the first 30 km of a journey at a uniform speed of 60 km/hr and the next 30 km at a uniform speed of 40 km/hr. What is the average speed for the entire journey?
A) 45 km/hr
B) 48 km/hr
C) 50 km/hr
D) 52 km/hr
39. A train of length 100 meters takes 10 seconds to cross a bridge of length 200 meters. What is the speed of the train?
A) 10 m/s
B) 15 m/s
C) 20 m/s
D) 30 m/s
40. A person covers a distance of 600 meters in 5 minutes. What is their speed in km/hr?
A) 5.2 km/hr
B) 6.8 km/hr
C) 7.2 km/hr
D) 8.4 km/hr
41. A boat travels upstream at 10 km/hr and downstream at 16 km/hr. What is the speed of the stream?
A) 2 km/hr
B) 3 km/hr
C) 4 km/hr
D) 5 km/hr
42. Two trains start at the same time from two stations A and B towards each other. The first train travels at 60 km/hr and the second train at 80 km/hr. If the distance between stations A and B is 700 km, when will they meet?
A) 4 hours
B) 4.5 hours
C) 5 hours
D) 5.5 hours
43. A train passes a pole in 15 seconds and a platform of 200 meters length in 25 seconds. What is the speed of the train?
A) 15 m/s
B) 20 m/s
C) 25 m/s
D) 30 m/s
44. A man cycles at a speed of 15 km/hr. How many minutes will it take him to cover a distance of 10 km?
A) 30 minutes
B) 35 minutes
C) 40 minutes
D) 45 minutes
45. Two trains, A and B, start from the same point at the same time and travel in the same direction. Train A travels at 60 km/hr and Train B at 80 km/hr. What is the distance between them after 2 hours?
A) 20 km
B) 30 km
C) 40 km
D) 50 km
46. A train moving at 72 km/hr crosses a platform in 10 seconds. What is the length of the platform if the train's length is 150 meters?
A) 50 meters
B) 100 meters
C) 150 meters
D) 200 meters
47. If a person walks at 5 km/hr, how far will they walk in 2.5 hours?
A) 10 km
B) 12.5 km
C) 15 km
D) 17.5 km
48. A car travels 150 km in 3 hours. What is its average speed?
A) 40 km/hr
B) 50 km/hr
C) 60 km/hr
D) 70 km/hr
49. A train travels at a speed of 60 km/hr. How long will it take to cover a distance of 240 km?
A) 3 hours
B) 4 hours
C) 5 hours
D) 6 hours