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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 573 · 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.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?
  2. 2.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?
  3. 3.Pipe A fills a tank in 10 hours and pipe B fills it in 15 hours. How many hours do both pipes take together?
  4. 4.Pipe A fills a tank in 8 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  5. 5.A tap fills a tank in 10 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?
  6. 6.Pipe A fills a tank in 12 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  7. 7.Pipe A fills a tank in 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  8. 8.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?
  9. 9.Pipe A fills a tank in 5 hours and pipe B fills it in 20 hours. How many hours do both pipes take together?
  10. 10.Pipes A and B together fill a tank in 4 hours. Pipe A alone fills it in 6 hours. How many hours does pipe B alone take?
  11. 11.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?
  12. 12.A tap fills a tank in 6 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?
  13. 13.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?
  14. 14.Pipe A fills a tank in 6 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  15. 15.Pipes A and B fill a tank in 8 and 10 hours. Pipe C empties the full tank in 5 hours. If all three are open, how many hours does the tank take to fill?
  16. 16.A tap fills a tank in 8 hours. A leak at the bottom empties the full tank in 9 hours. With both open, how many hours does the tank take to fill?
  17. 17.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?
  18. 18.Pipes A and B fill a tank in 2 and 12 hours. Pipe C empties the full tank in 3 hours. If all three are open, how many hours does the tank take to fill?
  19. 19.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?
  20. 20.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?
  21. 21.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?
  22. 22.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
  23. 23.Pipes A and B fill a tank in 12 and 16 hours. Pipe C empties the full tank in 8 hours. If all three are open, how many hours does the tank take to fill?
  24. 24.A tap fills a tank in 4 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?
  25. 25.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?
  26. 26.Pipe A fills a tank in 21 hours and pipe B fills it in 28 hours. How many hours do both pipes take together?
  27. 27.Pipes A and B fill a tank in 10 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?
  28. 28.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?
  29. 29.Pipes A and B fill a tank in 8 and 12 hours. Pipe C empties the full tank in 24 hours. If all three are open, how many hours does the tank take to fill?
  30. 30.Pipes A and B together fill a tank in 3 hours. Pipe A alone fills it in 12 hours. How many hours does pipe B alone take?
  31. 31.Pipes A and B together fill a tank in 9 hours. Pipe A alone fills it in 10 hours. How many hours does pipe B alone take?
  32. 32.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?
  33. 33.Pipes A and B fill a tank in 6 and 10 hours. Pipe C empties the full tank in 5 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 13 hours. A leak at the bottom empties the full tank in 26 hours. With both open, how many hours does the tank take to fill?
  36. 36.A tap fills a tank in 3 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?
  37. 37.A tap fills a tank in 9 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?
  38. 38.Pipes A and B fill a tank in 3 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?
  39. 39.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?
  40. 40.Pipes A and B together fill a tank in 15 hours. Pipe A alone fills it in 30 hours. How many hours does pipe B alone take?

Answer key

  1. 16
  2. 15
  3. 6
  4. 6
  5. 15
  6. 8
  7. 5
  8. 4
  9. 4
  10. 12
  11. 4
  12. 9
  13. 42
  14. 4
  15. 40
  16. 72
  17. 60
  18. 4
  19. 42
  20. 6
  21. 4
  22. 2
  23. 48
  24. 6
  25. 60
  26. 12
  27. 40
  28. 3
  29. 6
  30. 4
  31. 90
  32. 63
  33. 15
  34. 72
  35. 26
  36. 4
  37. 90
  38. 6
  39. 3
  40. 30

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