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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 244 · 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 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?
  2. 2.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?
  3. 3.Pipe A fills a tank in 21 hours and pipe B fills it in 28 hours. How many hours do both pipes take together?
  4. 4.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?
  5. 5.A tap fills a tank in 12 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?
  6. 6.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?
  7. 7.Pipe A fills a tank in 20 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  8. 8.Pipe A fills a tank in 5 hours and pipe B fills it in 20 hours. How many hours do both pipes take together?
  9. 9.A tap fills a tank in 18 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?
  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.A tap fills a tank in 5 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?
  12. 12.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?
  13. 13.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?
  14. 14.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?
  15. 15.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?
  16. 16.Pipes A and B fill a tank in 5 and 6 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 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?
  18. 18.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?
  19. 19.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?
  20. 20.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?
  21. 21.Pipes A and B fill a tank in 6 and 18 hours. Pipe C empties the full tank in 5 hours. If all three are open, how many hours does the tank take to fill?
  22. 22.Pipe A fills a tank in 6 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  23. 23.Pipes A and B fill a tank in 15 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?
  24. 24.A tap fills a tank in 14 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?
  25. 25.Pipes A and B fill a tank in 9 and 18 hours. Pipe C empties the full tank in 15 hours. If all three are open, how many hours does the tank take to fill?
  26. 26.Pipe A fills a tank in 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  27. 27.Pipe A fills a tank in 15 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  28. 28.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?
  29. 29.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?
  30. 30.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?
  31. 31.Pipes A and B fill a tank in 7 and 14 hours. Pipe C empties the full tank in 21 hours. If all three are open, how many hours does the tank take to fill?
  32. 32.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?
  33. 33.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?
  34. 34.Pipes A and B together fill a tank in 2 hours. Pipe A alone fills it in 4 hours. How many hours does pipe B alone take?
  35. 35.A tap fills a tank in 6 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?
  36. 36.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?
  37. 37.Pipe A fills a tank in 4 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 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?
  39. 39.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?
  40. 40.A tap fills a tank in 14 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?

Answer key

  1. 10
  2. 6
  3. 12
  4. 60
  5. 48
  6. 5
  7. 12
  8. 4
  9. 45
  10. 6
  11. 10
  12. 21
  13. 5
  14. 20
  15. 72
  16. 3
  17. 30
  18. 70
  19. 45
  20. 16
  21. 45
  22. 4
  23. 45
  24. 28
  25. 10
  26. 5
  27. 10
  28. 42
  29. 12
  30. 12
  31. 6
  32. 3
  33. 36
  34. 4
  35. 10
  36. 60
  37. 3
  38. 3
  39. 30
  40. 63

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