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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 46 · 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 9 hours and pipe B fills it in 18 hours. How many hours do both pipes take together?
  2. 2.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?
  3. 3.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?
  4. 4.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?
  5. 5.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?
  6. 6.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?
  7. 7.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
  8. 8.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?
  9. 9.Pipe A fills a tank in 12 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  10. 10.Pipe A fills a tank in 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  11. 11.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 9 hours. How many hours does pipe B alone take?
  12. 12.Pipe A fills a tank in 8 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  13. 13.Pipes A and B fill a tank in 6 and 12 hours. Pipe C empties the full tank in 8 hours. If all three are open, how many hours does the tank take to fill?
  14. 14.A tap fills a tank in 12 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?
  15. 15.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?
  16. 16.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?
  17. 17.A tap fills a tank in 9 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?
  18. 18.Pipes A and B fill a tank in 7 and 14 hours. Pipe C empties the full tank in 6 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 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?
  20. 20.Pipe A fills a tank in 5 hours and pipe B fills it in 20 hours. How many hours do both pipes take together?
  21. 21.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?
  22. 22.A tap fills a tank in 12 hours. A leak at the bottom empties the full tank in 21 hours. With both open, how many hours does the tank take to fill?
  23. 23.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?
  24. 24.Pipe A fills a tank in 20 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  25. 25.Pipes A and B fill a tank in 5 and 20 hours. Pipe C empties the full tank in 6 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 12 hours. How many hours do both pipes take together?
  27. 27.Pipe A fills a tank in 4 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  28. 28.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?
  29. 29.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 8 hours. How many hours does pipe B alone take?
  30. 30.A tap fills a tank in 10 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?
  31. 31.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?
  32. 32.A tap fills a tank in 15 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?
  33. 33.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?
  34. 34.Pipes A and B fill a tank in 10 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?
  35. 35.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?
  36. 36.Pipe A fills a tank in 10 hours and pipe B fills it in 15 hours. How many hours do both pipes take together?
  37. 37.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?
  38. 38.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?
  39. 39.Pipes A and B fill a tank in 5 and 15 hours. Pipe C empties the full tank in 4 hours. If all three are open, how many hours does the tank take to fill?
  40. 40.A tap fills a tank in 8 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?

Answer key

  1. 6
  2. 30
  3. 3
  4. 20
  5. 63
  6. 2
  7. 2
  8. 6
  9. 8
  10. 5
  11. 18
  12. 6
  13. 8
  14. 18
  15. 30
  16. 2
  17. 36
  18. 21
  19. 6
  20. 4
  21. 5
  22. 28
  23. 4
  24. 12
  25. 12
  26. 4
  27. 3
  28. 12
  29. 24
  30. 60
  31. 32
  32. 60
  33. 6
  34. 12
  35. 30
  36. 6
  37. 56
  38. 3
  39. 60
  40. 10

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