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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 56 · 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 together fill a tank in 8 hours. Pipe A alone fills it in 9 hours. How many hours does pipe B alone take?
  2. 2.Pipe A fills a tank in 8 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  3. 3.Pipes A and B fill a tank in 12 and 15 hours. Pipe C empties the full tank in 10 hours. If all three are open, how many hours does the tank take to fill?
  4. 4.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 12 hours. How many hours does pipe B alone take?
  5. 5.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?
  6. 6.Pipe A fills a tank in 6 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 2 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?
  8. 8.Pipe A fills a tank in 9 hours and pipe B fills it in 18 hours. How many hours do both pipes take together?
  9. 9.A tap fills a tank in 20 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?
  10. 10.Pipe A fills a tank in 10 hours and pipe B fills it in 15 hours. How many hours do both pipes take together?
  11. 11.Pipes A and B together fill a tank in 14 hours. Pipe A alone fills it in 21 hours. How many hours does pipe B alone take?
  12. 12.Pipe A fills a tank in 21 hours and pipe B fills it in 28 hours. How many hours do both pipes take together?
  13. 13.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
  14. 14.Pipes A and B together fill a tank in 9 hours. Pipe A alone fills it in 18 hours. How many hours does pipe B alone take?
  15. 15.Pipe A fills a tank in 15 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  16. 16.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?
  17. 17.Pipes A and B fill a tank in 5 and 10 hours. Pipe C empties the full tank in 20 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 9 and 18 hours. Pipe C empties the full tank in 24 hours. If all three are open, how many hours does the tank take to fill?
  19. 19.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?
  20. 20.Pipe A fills a tank in 4 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  21. 21.Pipes A and B fill a tank in 4 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?
  22. 22.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?
  23. 23.Pipes A and B together fill a tank in 10 hours. Pipe A alone fills it in 30 hours. How many hours does pipe B alone take?
  24. 24.Pipes A and B fill a tank in 12 and 20 hours. Pipe C empties the full tank in 9 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 4 hours. How many hours does pipe B alone take?
  26. 26.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?
  27. 27.Pipes A and B together fill a tank in 18 hours. Pipe A alone fills it in 30 hours. How many hours does pipe B alone take?
  28. 28.Pipes A and B fill a tank in 4 and 20 hours. Pipe C empties the full tank in 5 hours. If all three are open, how many hours does the tank take to fill?
  29. 29.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?
  30. 30.Pipes A and B fill a tank in 5 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?
  31. 31.Pipes A and B fill a tank in 4 and 6 hours. Pipe C empties the full tank in 12 hours. If all three are open, how many hours does the tank take to fill?
  32. 32.A tap fills a tank in 7 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?
  33. 33.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?
  34. 34.Pipes A and B together fill a tank in 3 hours. Pipe A alone fills it in 12 hours. How many hours does pipe B alone take?
  35. 35.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?
  36. 36.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?
  37. 37.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?
  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 5 and 12 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.Pipes A and B fill a tank in 9 and 18 hours. Pipe C empties the full tank in 10 hours. If all three are open, how many hours does the tank take to fill?

Answer key

  1. 72
  2. 6
  3. 20
  4. 12
  5. 15
  6. 4
  7. 3
  8. 6
  9. 45
  10. 6
  11. 42
  12. 12
  13. 2
  14. 18
  15. 10
  16. 2
  17. 4
  18. 8
  19. 24
  20. 3
  21. 6
  22. 12
  23. 15
  24. 45
  25. 12
  26. 36
  27. 45
  28. 10
  29. 6
  30. 20
  31. 3
  32. 56
  33. 35
  34. 4
  35. 30
  36. 60
  37. 6
  38. 12
  39. 4
  40. 15

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