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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 160 · 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 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?
  2. 2.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?
  3. 3.Pipes A and B fill a tank in 3 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?
  4. 4.Pipes A and B fill a tank in 7 and 8 hours. Pipe C empties the full tank in 4 hours. If all three are open, how many hours does the tank take to fill?
  5. 5.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?
  6. 6.Pipe A fills a tank in 4 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  7. 7.A tap fills a tank in 20 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?
  8. 8.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?
  9. 9.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?
  10. 10.Pipe A fills a tank in 21 hours and pipe B fills it in 28 hours. How many hours do both pipes take together?
  11. 11.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?
  12. 12.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
  13. 13.Pipe A fills a tank in 10 hours and pipe B fills it in 15 hours. How many hours do both pipes take together?
  14. 14.Pipes A and B fill a tank in 5 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?
  15. 15.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?
  16. 16.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?
  17. 17.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?
  18. 18.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?
  19. 19.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?
  20. 20.Pipe A fills a tank in 15 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  21. 21.Pipes A and B fill a tank in 4 and 8 hours. Pipe C empties the full tank in 24 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 12 hours. Pipe A alone fills it in 15 hours. How many hours does pipe B alone take?
  23. 23.A tap fills a tank in 10 hours. A leak at the bottom empties the full tank in 35 hours. With both open, how many hours does the tank take to fill?
  24. 24.Pipe A fills a tank in 12 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  25. 25.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?
  26. 26.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?
  27. 27.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?
  28. 28.A tap fills a tank in 14 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?
  29. 29.Pipes A and B fill a tank in 15 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?
  30. 30.Pipe A fills a tank in 5 hours and pipe B fills it in 20 hours. How many hours do both pipes take together?
  31. 31.Pipes A and B fill a tank in 3 and 5 hours. Pipe C empties the full tank in 2 hours. If all three are open, how many hours does the tank take to fill?
  32. 32.Pipe A fills a tank in 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  33. 33.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?
  34. 34.A tap fills a tank in 12 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?
  35. 35.A tap fills a tank in 3 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?
  36. 36.Pipes A and B fill a tank in 6 and 8 hours. Pipe C empties the full tank in 24 hours. If all three are 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 20 hours. With both open, how many hours does the tank take to fill?
  38. 38.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?
  39. 39.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?
  40. 40.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?

Answer key

  1. 45
  2. 60
  3. 4
  4. 56
  5. 24
  6. 3
  7. 120
  8. 6
  9. 6
  10. 12
  11. 3
  12. 2
  13. 6
  14. 10
  15. 2
  16. 30
  17. 60
  18. 4
  19. 16
  20. 10
  21. 3
  22. 60
  23. 14
  24. 8
  25. 6
  26. 12
  27. 28
  28. 112
  29. 12
  30. 4
  31. 30
  32. 5
  33. 60
  34. 20
  35. 12
  36. 4
  37. 5
  38. 90
  39. 60
  40. 8

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