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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 260 · 40 questions
TalentJR

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.

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

Answer key

  1. 6
  2. 15
  3. 12
  4. 2
  5. 6
  6. 3
  7. 36
  8. 8
  9. 32
  10. 20
  11. 6
  12. 5
  13. 36
  14. 42
  15. 20
  16. 12
  17. 26
  18. 16
  19. 4
  20. 3
  21. 22
  22. 10
  23. 12
  24. 40
  25. 6
  26. 30
  27. 40
  28. 10
  29. 48
  30. 30
  31. 48
  32. 30
  33. 21
  34. 60
  35. 24
  36. 30
  37. 4
  38. 6
  39. 72
  40. 24

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