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Pipes and Cisterns Worksheet

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

Answer key

  1. 4
  2. 12
  3. 3
  4. 2
  5. 6
  6. 5
  7. 36
  8. 30
  9. 20
  10. 45
  11. 60
  12. 63
  13. 6
  14. 100
  15. 60
  16. 60
  17. 30
  18. 22
  19. 8
  20. 2
  21. 42
  22. 3
  23. 4
  24. 3
  25. 70
  26. 20
  27. 34
  28. 8
  29. 24
  30. 15
  31. 60
  32. 56
  33. 72
  34. 6
  35. 18
  36. 3
  37. 60
  38. 40
  39. 6
  40. 14

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