Pipes and Cisterns, Time Speed and Distance, Boats and Streams - Question Bank
1. A person travels from city A to city B at 20 km/hr and returns from B to A at 30 km/hr. What is the average speed for the entire journey?
2. Pipe A can fill a tank in 12 hours and Pipe B can empty it in 18 hours. If both pipes are opened, in how many hours will the tank be filled?
3. A boat moves at 15 km/hr in still water. If the speed of the stream is 5 km/hr, what is the time taken to cover 50 km upstream?
4. A train travelling at 90 km/hr crosses a bridge in 10 seconds. What is the length of the bridge if the length of the train is 150 meters?
5. Two pipes P and Q can fill a tank in 12 minutes and 15 minutes respectively. Both pipes are opened together, but Pipe P is closed 3 minutes before the tank is filled. How long does it take to fill the tank?
6. A boat travels downstream at 20 km/hr and upstream at 16 km/hr. What is the speed of the stream?
7. A man walks at 4 km/hr and runs at 8 km/hr. How long will it take him to cover a distance of 1 km, if he walks for 30 minutes and then runs for the remaining distance?
8. Pipe A can fill a cistern in 4 hours. Pipe B can empty the same cistern in 5 hours. If the cistern is full, and both pipes are opened, how long will it take to empty the cistern?
9. A boat can travel at 16 km/hr in still water. If it takes 4 hours to travel a certain distance downstream and 6 hours to travel the same distance upstream, what is the speed of the stream?
10. A train passes a pole in 12 seconds and a platform 250 meters long in 22 seconds. What is the speed of the train?
11. Two taps A and B can fill a tank in 20 minutes and 30 minutes respectively. Both taps are opened together. After how much time should tap B be closed so that the tank is filled in 15 minutes?
12. A boat travels upstream for 2 hours and covers a distance of 10 km. It travels downstream for the same amount of time and covers a distance of 26 km. What is the speed of the boat in still water?
13. A person walks from point A to point B at 6 km/hr and returns from B to A at 4 km/hr. What is the average speed for the entire journey?
14. Pipe A can fill a tank in 15 hours. Pipe B can empty it in 10 hours. If both pipes are opened, in how many hours will the tank be emptied if it is initially full?
15. A boat's speed in still water is 18 km/hr. If the speed of the stream is 4 km/hr, what is the time taken to cover 88 km downstream?
16. A train travelling at 54 km/hr crosses a platform in 20 seconds. If the length of the train is 150 meters, what is the length of the platform?
17. Two pipes A and B can fill a tank in 24 minutes and 36 minutes respectively. Both pipes are opened together, but Pipe B is closed 6 minutes before the tank is filled. How long does it take to fill the tank?
18. A boat travels downstream at 22 km/hr and upstream at 18 km/hr. What is the speed of the stream?
19. A train travels from city P to city Q at 50 km/hr and returns from Q to P at 75 km/hr. What is the average speed for the entire journey?
20. Pipe X can fill a tank in 10 hours. Pipe Y can empty it in 15 hours. If both pipes are opened simultaneously, in how many hours will the tank be filled?
21. A boat's speed in still water is 12 km/hr. If the speed of the stream is 3 km/hr, what is the time taken by the boat to travel 60 km upstream?
22. A train passes a man standing on a platform in 8 seconds and passes the platform completely in 20 seconds. If the length of the train is 120 meters, what is the length of the platform?
23. Two taps A and B can fill a tank in 40 minutes and 60 minutes respectively. Both taps are opened together. After how much time should tap A be closed so that the tank is filled in 30 minutes?
24. A boat travels upstream for 4 hours and covers a distance of 24 km. It travels downstream for the same amount of time and covers a distance of 40 km. What is the speed of the boat in still water?
25. A person travels from point A to point B at 30 km/hr and returns from B to A at 50 km/hr. What is the average speed for the entire journey?
26. Pipe A can fill a tank in 8 hours and Pipe B can empty it in 6 hours. If both pipes are opened, in how many hours will the tank be emptied if it is initially full?
27. A boat moves at 20 km/hr in still water. If the speed of the stream is 4 km/hr, what is the time taken to cover 96 km downstream?
28. A train travelling at 72 km/hr crosses a bridge in 15 seconds. What is the length of the bridge if the length of the train is 100 meters?
29. Two pipes P and Q can fill a tank in 15 minutes and 20 minutes respectively. Both pipes are opened together, but P is closed 5 minutes before the tank is full. How long does it take to fill the tank?
30. A boat travels downstream at 18 km/hr and upstream at 12 km/hr. What is the speed of the stream?
31. A man walks at 5 km/hr and runs at 10 km/hr. How long will it take him to cover a distance of 1 km, if he walks for 30 minutes and then runs for the remaining distance?
32. Pipe A can fill a cistern in 5 hours. Pipe B can empty the same cistern in 4 hours. If the cistern is full, and both pipes are opened, how long will it take to empty the cistern?
33. A boat can travel at 15 km/hr in still water. If it takes 5 hours to travel a certain distance downstream and 7 hours to travel the same distance upstream, what is the speed of the stream?
34. A train crosses a pole in 9 seconds and a platform 200 meters long in 21 seconds. What is the speed of the train?
35. Two pipes A and B can fill a tank in 3 hours and 4 hours respectively. A third pipe C can empty the tank in 6 hours. If all three pipes are opened together, how long will it take to fill the tank?
36. A boat takes 3 hours to travel upstream a distance of 12 km. If the speed of the stream is 2 km/hr, what is the speed of the boat in still water?
37. A car travels from city X to city Y at 40 km/hr and returns at 60 km/hr. What is the average speed of the car for the entire journey?
38. Pipe A can fill a tank in 20 minutes, and Pipe B can fill it in 30 minutes. An outlet Pipe C can empty the tank in 40 minutes. If all three pipes are opened together, how long will it take to fill the tank?
39. A boat's speed in still water is 10 km/hr. If the speed of the stream is 2 km/hr, what is the time taken by the boat to travel 72 km downstream?
40. A train passes a man standing on a platform in 10 seconds and passes the platform completely in 25 seconds. If the length of the train is 150 meters, what is the length of the platform?
41. Two taps A and B can fill a tank in 12 minutes and 18 minutes respectively. Both taps are opened together. After how much time should tap B be closed so that the tank is filled in 10 minutes?
42. A boat travels upstream for 3 hours and covers a distance of 18 km. It travels downstream for the same amount of time and covers a distance of 30 km. What is the speed of the boat in still water?
43. A person walks from point A to point B at a speed of 4 km/hr and returns from B to A at a speed of 6 km/hr. What is the average speed for the entire journey?
44. Pipe X can fill a tank in 6 hours and Pipe Y can empty it in 8 hours. If both pipes are opened simultaneously, in how many hours will the tank be filled?
45. A boat moves upstream at a speed of 12 km/hr and downstream at a speed of 18 km/hr. What is the speed of the stream?
46. A car covers a distance of 360 km in 4 hours. If it covers the first 240 km in 3 hours, at what speed must it travel for the remaining distance to complete the journey in the scheduled time?
47. Two pipes, P and Q, can fill a cistern in 30 minutes and 45 minutes respectively. Both pipes are opened together, but Pipe Q is closed 15 minutes before the cistern is filled. How long does it take for the cistern to be filled?
48. A boat can travel downstream at 25 km/hr and upstream at 15 km/hr. What is the speed of the boat in still water?
49. A train traveling at 60 km/hr crosses a platform in 10 seconds. If the length of the train is 150 meters, what is the length of the platform?
50. If Pipe A can fill a tank in 10 hours and Pipe B can fill the same tank in 15 hours, how long will it take for both pipes to fill the tank together?