Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 90 · 40 questions

The method (Tank = LCM units): Tank = LCM of all the hours. Each pipe: tank ÷ its hours = units an hour. Fillers +, emptiers −. Time = tank ÷ net units an hour. One pipe alone: together rate − the other pipe’s rate.

1. 1.Pipes A and B fill a tank in 3 and 12 hours. Pipe C empties the full tank in 4 hours. If all three are open, how many hours does the tank take to fill?
2. 2.Pipes A and B together fill a tank in 2 hours. Pipe A alone fills it in 6 hours. How many hours does pipe B alone take?
3. 3.Pipe A fills a tank in 10 hours and pipe B fills it in 15 hours. How many hours do both pipes take together?
4. 4.Pipes A and B fill a tank in 10 and 20 hours. Pipe C empties the full tank in 8 hours. If all three are open, how many hours does the tank take to fill?
5. 5.Pipe A fills a tank in 8 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
6. 6.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 8 hours. How many hours does pipe B alone take?
7. 7.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
8. 8.Pipes A and B fill a tank in 10 and 15 hours. Pipe C empties the full tank in 24 hours. If all three are open, how many hours does the tank take to fill?
9. 9.Pipes A and B fill a tank in 6 and 8 hours. Pipe C empties the full tank in 4 hours. If all three are open, how many hours does the tank take to fill?
10. 10.A tap fills a tank in 12 hours. A leak at the bottom empties the full tank in 28 hours. With both open, how many hours does the tank take to fill?
11. 11.Pipes A and B together fill a tank in 4 hours. Pipe A alone fills it in 5 hours. How many hours does pipe B alone take?
12. 12.Pipes A and B together fill a tank in 10 hours. Pipe A alone fills it in 12 hours. How many hours does pipe B alone take?
13. 13.A tap fills a tank in 3 hours. A leak at the bottom empties the full tank in 4 hours. With both open, how many hours does the tank take to fill?
14. 14.Pipes A and B together fill a tank in 18 hours. Pipe A alone fills it in 24 hours. How many hours does pipe B alone take?
15. 15.A tap fills a tank in 4 hours. A leak at the bottom empties the full tank in 8 hours. With both open, how many hours does the tank take to fill?
16. 16.Pipe A fills a tank in 6 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
17. 17.Pipes A and B together fill a tank in 2 hours. Pipe A alone fills it in 3 hours. How many hours does pipe B alone take?
18. 18.Pipes A and B fill a tank in 3 and 6 hours. Pipe C empties the full tank in 4 hours. If all three are open, how many hours does the tank take to fill?
19. 19.A tap fills a tank in 15 hours. A leak at the bottom empties the full tank in 40 hours. With both open, how many hours does the tank take to fill?
20. 20.Pipes A and B together fill a tank in 7 hours. Pipe A alone fills it in 14 hours. How many hours does pipe B alone take?
21. 21.Pipes A and B fill a tank in 12 and 15 hours. Pipe C empties the full tank in 8 hours. If all three are open, how many hours does the tank take to fill?
22. 22.Pipe A fills a tank in 5 hours and pipe B fills it in 20 hours. How many hours do both pipes take together?
23. 23.A tap fills a tank in 10 hours. A leak at the bottom empties the full tank in 30 hours. With both open, how many hours does the tank take to fill?
24. 24.Pipes A and B together fill a tank in 7 hours. Pipe A alone fills it in 8 hours. How many hours does pipe B alone take?
25. 25.Pipes A and B together fill a tank in 21 hours. Pipe A alone fills it in 30 hours. How many hours does pipe B alone take?
26. 26.A tap fills a tank in 20 hours. A leak at the bottom empties the full tank in 24 hours. With both open, how many hours does the tank take to fill?
27. 27.Pipes A and B fill a tank in 6 and 12 hours. Pipe C empties the full tank in 20 hours. If all three are open, how many hours does the tank take to fill?
28. 28.Pipes A and B fill a tank in 8 and 12 hours. Pipe C empties the full tank in 6 hours. If all three are open, how many hours does the tank take to fill?
29. 29.Pipe A fills a tank in 20 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
30. 30.Pipes A and B fill a tank in 5 and 15 hours. Pipe C empties the full tank in 6 hours. If all three are open, how many hours does the tank take to fill?
31. 31.A tap fills a tank in 18 hours. A leak at the bottom empties the full tank in 36 hours. With both open, how many hours does the tank take to fill?
32. 32.Pipes A and B fill a tank in 6 and 15 hours. Pipe C empties the full tank in 30 hours. If all three are open, how many hours does the tank take to fill?
33. 33.Pipes A and B fill a tank in 10 and 15 hours. Pipe C empties the full tank in 9 hours. If all three are open, how many hours does the tank take to fill?
34. 34.Pipe A fills a tank in 4 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
35. 35.Pipe A fills a tank in 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
36. 36.A tap fills a tank in 8 hours. A leak at the bottom empties the full tank in 40 hours. With both open, how many hours does the tank take to fill?
37. 37.Pipes A and B fill a tank in 5 and 6 hours. Pipe C empties the full tank in 3 hours. If all three are open, how many hours does the tank take to fill?
38. 38.Pipes A and B together fill a tank in 10 hours. Pipe A alone fills it in 14 hours. How many hours does pipe B alone take?
39. 39.A tap fills a tank in 20 hours. A leak at the bottom empties the full tank in 28 hours. With both open, how many hours does the tank take to fill?
40. 40.A tap fills a tank in 10 hours. A leak at the bottom empties the full tank in 15 hours. With both open, how many hours does the tank take to fill?

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude