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Pipes and Cisterns Worksheet

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

Answer key

  1. 6
  2. 5
  3. 5
  4. 2
  5. 15
  6. 30
  7. 9
  8. 3
  9. 6
  10. 30
  11. 30
  12. 36
  13. 6
  14. 12
  15. 42
  16. 30
  17. 4
  18. 12
  19. 45
  20. 8
  21. 2
  22. 12
  23. 4
  24. 3
  25. 90
  26. 4
  27. 35
  28. 60
  29. 12
  30. 10
  31. 5
  32. 30
  33. 60
  34. 72
  35. 40
  36. 8
  37. 4
  38. 15
  39. 24
  40. 8

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