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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 215 · 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.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?
  2. 2.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 10 hours. How many hours does pipe B alone take?
  3. 3.A tap fills a tank in 9 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?
  4. 4.A tap fills a tank in 2 hours. A leak at the bottom empties the full tank in 3 hours. With both open, how many hours does the tank take to fill?
  5. 5.A tap fills a tank in 6 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?
  6. 6.A tap fills a tank in 12 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?
  7. 7.Pipe A fills a tank in 4 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  8. 8.Pipes A and B fill a tank in 3 and 5 hours. Pipe C empties the full tank in 30 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 8 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?
  10. 10.Pipes A and B fill a tank in 4 and 10 hours. Pipe C empties the full tank in 3 hours. If all three are open, how many hours does the tank take to fill?
  11. 11.A tap fills a tank in 6 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?
  12. 12.Pipe A fills a tank in 5 hours and pipe B fills it in 20 hours. How many hours do both pipes take together?
  13. 13.Pipes A and B together fill a tank in 15 hours. Pipe A alone fills it in 24 hours. How many hours does pipe B alone take?
  14. 14.A tap fills a tank in 2 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?
  15. 15.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?
  16. 16.Pipes A and B fill a tank in 9 and 18 hours. Pipe C empties the full tank in 7 hours. If all three are open, how many hours does the tank take to fill?
  17. 17.Pipes A and B fill a tank in 12 and 20 hours. Pipe C empties the full tank in 10 hours. If all three are open, how many hours does the tank take to fill?
  18. 18.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?
  19. 19.Pipes A and B fill a tank in 15 and 20 hours. Pipe C empties the full tank in 10 hours. If all three are open, how many hours does the tank take to fill?
  20. 20.Pipe A fills a tank in 9 hours and pipe B fills it in 18 hours. How many hours do both pipes take together?
  21. 21.Pipes A and B fill a tank in 6 and 10 hours. Pipe C empties the full tank in 15 hours. If all three are open, how many hours does the tank take to fill?
  22. 22.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?
  23. 23.Pipe A fills a tank in 6 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  24. 24.Pipe A fills a tank in 15 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  25. 25.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
  26. 26.A tap fills a tank in 10 hours. A leak at the bottom empties the full tank in 14 hours. With both open, how many hours does the tank take to fill?
  27. 27.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?
  28. 28.Pipes A and B together fill a tank in 4 hours. Pipe A alone fills it in 6 hours. How many hours does pipe B alone take?
  29. 29.Pipes A and B fill a tank in 10 and 15 hours. Pipe C empties the full tank in 7 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 15 hours. With both open, how many hours does the tank take to fill?
  31. 31.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?
  32. 32.A tap fills a tank in 3 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?
  33. 33.Pipe A fills a tank in 8 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  34. 34.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?
  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.A tap fills a tank in 4 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?
  37. 37.A tap fills a tank in 4 hours. A leak at the bottom empties the full tank in 5 hours. With both open, how many hours does the tank take to fill?
  38. 38.Pipe A fills a tank in 20 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  39. 39.Pipes A and B fill a tank in 12 and 20 hours. Pipe C empties the full tank in 30 hours. If all three are open, how many hours does the tank take to fill?
  40. 40.A tap fills a tank in 20 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?

Answer key

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

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