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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 96 · 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 18 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?
  2. 2.Pipes A and B fill a tank in 4 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?
  3. 3.Pipe A fills a tank in 9 hours and pipe B fills it in 18 hours. How many hours do both pipes take together?
  4. 4.Pipe A fills a tank in 5 hours and pipe B fills it in 20 hours. How many hours do both pipes take together?
  5. 5.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?
  6. 6.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?
  7. 7.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?
  8. 8.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?
  9. 9.Pipes A and B fill a tank in 5 and 6 hours. Pipe C empties the full tank in 30 hours. If all three are open, how many hours does the tank take to fill?
  10. 10.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
  11. 11.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?
  12. 12.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?
  13. 13.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?
  14. 14.Pipes A and B fill a tank in 12 and 15 hours. Pipe C empties the full tank in 8 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 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?
  16. 16.Pipes A and B fill a tank in 3 and 4 hours. Pipe C empties the full tank in 2 hours. If all three are open, how many hours does the tank take to fill?
  17. 17.A tap fills a tank in 10 hours. A leak at the bottom empties the full tank in 11 hours. With both open, how many hours does the tank take to fill?
  18. 18.A tap fills a tank in 2 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?
  19. 19.A tap fills a tank in 4 hours. A leak at the bottom empties the full tank in 5 hours. With both open, how many hours does the tank take to fill?
  20. 20.Pipes A and B fill a tank in 6 and 12 hours. Pipe C empties the full tank in 20 hours. If all three are open, how many hours does the tank take to fill?
  21. 21.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?
  22. 22.Pipes A and B together fill a tank in 7 hours. Pipe A alone fills it in 8 hours. How many hours does pipe B alone take?
  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.Pipes A and B together fill a tank in 18 hours. Pipe A alone fills it in 30 hours. How many hours does pipe B alone take?
  25. 25.Pipe A fills a tank in 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  26. 26.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?
  27. 27.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?
  28. 28.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?
  29. 29.Pipes A and B together fill a tank in 16 hours. Pipe A alone fills it in 24 hours. How many hours does pipe B alone take?
  30. 30.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?
  31. 31.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?
  32. 32.Pipes A and B together fill a tank in 4 hours. Pipe A alone fills it in 8 hours. How many hours does pipe B alone take?
  33. 33.Pipe A fills a tank in 6 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  34. 34.Pipes A and B together fill a tank in 15 hours. Pipe A alone fills it in 18 hours. How many hours does pipe B alone take?
  35. 35.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?
  36. 36.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?
  37. 37.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?
  38. 38.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?
  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 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?

Answer key

  1. 99
  2. 10
  3. 6
  4. 4
  5. 21
  6. 30
  7. 5
  8. 8
  9. 3
  10. 2
  11. 8
  12. 3
  13. 36
  14. 40
  15. 60
  16. 12
  17. 110
  18. 4
  19. 20
  20. 5
  21. 6
  22. 56
  23. 4
  24. 45
  25. 5
  26. 45
  27. 30
  28. 6
  29. 48
  30. 12
  31. 12
  32. 8
  33. 4
  34. 90
  35. 24
  36. 4
  37. 24
  38. 18
  39. 60
  40. 30

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