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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 62 · 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 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?
  2. 2.Pipe A fills a tank in 9 hours and pipe B fills it in 18 hours. How many hours do both pipes take together?
  3. 3.A tap fills a tank in 20 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?
  4. 4.A tap fills a tank in 20 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?
  5. 5.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
  6. 6.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?
  7. 7.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?
  8. 8.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?
  9. 9.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?
  10. 10.Pipe A fills a tank in 5 hours and pipe B fills it in 20 hours. How many hours do both pipes take together?
  11. 11.Pipe A fills a tank in 20 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  12. 12.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?
  13. 13.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?
  14. 14.A tap fills a tank in 5 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?
  15. 15.A tap fills a tank in 2 hours. A leak at the bottom empties the full tank in 3 hours. With both open, how many hours does the tank take to fill?
  16. 16.Pipe A fills a tank in 15 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  17. 17.Pipe A fills a tank in 10 hours and pipe B fills it in 15 hours. How many hours do both pipes take together?
  18. 18.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?
  19. 19.Pipes A and B fill a tank in 9 and 18 hours. Pipe C empties the full tank in 15 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 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?
  21. 21.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?
  22. 22.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 24 hours. How many hours does pipe B alone take?
  23. 23.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?
  24. 24.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?
  25. 25.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?
  26. 26.A tap fills a tank in 16 hours. A leak at the bottom empties the full tank in 32 hours. With both open, how many hours does the tank take to fill?
  27. 27.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?
  28. 28.Pipes A and B fill a tank in 6 and 10 hours. Pipe C empties the full tank in 15 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 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?
  30. 30.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?
  31. 31.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?
  32. 32.Pipe A fills a tank in 21 hours and pipe B fills it in 28 hours. How many hours do both pipes take together?
  33. 33.Pipe A fills a tank in 12 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  34. 34.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?
  35. 35.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?
  36. 36.Pipes A and B fill a tank in 9 and 18 hours. Pipe C empties the full tank in 8 hours. If all three are open, how many hours does the tank take to fill?
  37. 37.A tap fills a tank in 6 hours. A leak at the bottom empties the full tank in 15 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 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?
  39. 39.Pipes A and B together fill a tank in 8 hours. Pipe A alone fills it in 16 hours. How many hours does pipe B alone take?
  40. 40.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?

Answer key

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

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