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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 77 · 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 36 hours. With both open, how many hours does the tank take to fill?
  2. 2.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?
  3. 3.Pipe A fills a tank in 20 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  4. 4.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?
  5. 5.Pipe A fills a tank in 9 hours and pipe B fills it in 18 hours. How many hours do both pipes take together?
  6. 6.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?
  7. 7.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?
  8. 8.Pipes A and B together fill a tank in 11 hours. Pipe A alone fills it in 22 hours. How many hours does pipe B alone take?
  9. 9.Pipes A and B fill a tank in 18 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?
  10. 10.Pipe A fills a tank in 12 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  11. 11.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?
  12. 12.Pipe A fills a tank in 6 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  13. 13.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?
  14. 14.Pipe A fills a tank in 4 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  15. 15.A tap fills a tank in 14 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?
  16. 16.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?
  17. 17.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?
  18. 18.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 18 hours. How many hours does pipe B alone take?
  19. 19.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?
  20. 20.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?
  21. 21.Pipes A and B together fill a tank in 12 hours. Pipe A alone fills it in 20 hours. How many hours does pipe B alone take?
  22. 22.Pipes A and B together fill a tank in 12 hours. Pipe A alone fills it in 18 hours. How many hours does pipe B alone take?
  23. 23.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?
  24. 24.A tap fills a tank in 18 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?
  25. 25.Pipes A and B fill a tank in 9 and 18 hours. Pipe C empties the full tank in 10 hours. If all three are open, how many hours does the tank take to fill?
  26. 26.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?
  27. 27.Pipes A and B fill a tank in 7 and 14 hours. Pipe C empties the full tank in 21 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 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?
  29. 29.Pipe A fills a tank in 15 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  30. 30.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
  31. 31.Pipe A fills a tank in 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  32. 32.Pipes A and B fill a tank in 12 and 18 hours. Pipe C empties the full tank in 9 hours. If all three are open, how many hours does the tank take to fill?
  33. 33.Pipe A fills a tank in 10 hours and pipe B fills it in 15 hours. How many hours do both pipes take together?
  34. 34.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?
  35. 35.A tap fills a tank in 15 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?
  36. 36.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?
  37. 37.A tap fills a tank in 5 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 together fill a tank in 4 hours. Pipe A alone fills it in 20 hours. How many hours does pipe B alone take?
  39. 39.A tap fills a tank in 15 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?
  40. 40.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?

Answer key

  1. 36
  2. 4
  3. 12
  4. 120
  5. 6
  6. 4
  7. 90
  8. 22
  9. 45
  10. 8
  11. 6
  12. 4
  13. 5
  14. 3
  15. 42
  16. 60
  17. 6
  18. 9
  19. 30
  20. 72
  21. 30
  22. 36
  23. 20
  24. 72
  25. 15
  26. 4
  27. 6
  28. 12
  29. 10
  30. 2
  31. 5
  32. 36
  33. 6
  34. 5
  35. 30
  36. 12
  37. 10
  38. 5
  39. 24
  40. 63

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