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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 356 · 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.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?
  3. 3.A tap fills a tank in 10 hours. A leak at the bottom empties the full tank in 14 hours. With both open, how many hours does the tank take to fill?
  4. 4.Pipe A fills a tank in 15 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  5. 5.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?
  6. 6.A tap fills a tank in 15 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?
  7. 7.Pipe A fills a tank in 9 hours and pipe B fills it in 18 hours. How many hours do both pipes take together?
  8. 8.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?
  9. 9.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?
  10. 10.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?
  11. 11.A tap fills a tank in 7 hours. A leak at the bottom empties the full tank in 14 hours. With both open, how many hours does the tank take to fill?
  12. 12.Pipe A fills a tank in 20 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  13. 13.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?
  14. 14.Pipes A and B fill a tank in 10 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?
  15. 15.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?
  16. 16.Pipe A fills a tank in 21 hours and pipe B fills it in 28 hours. How many hours do both pipes take together?
  17. 17.A tap fills a tank in 4 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?
  18. 18.A tap fills a tank in 19 hours. A leak at the bottom empties the full tank in 38 hours. With both open, how many hours does the tank take to fill?
  19. 19.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?
  20. 20.Pipes A and B fill a tank in 10 and 15 hours. Pipe C empties the full tank in 9 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 10 hours. Pipe A alone fills it in 30 hours. How many hours does pipe B alone take?
  22. 22.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?
  23. 23.Pipe A fills a tank in 10 hours and pipe B fills it in 15 hours. How many hours do both pipes take together?
  24. 24.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?
  25. 25.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?
  26. 26.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?
  27. 27.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?
  28. 28.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?
  29. 29.Pipes A and B together fill a tank in 12 hours. Pipe A alone fills it in 16 hours. How many hours does pipe B alone take?
  30. 30.Pipe A fills a tank in 6 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  31. 31.Pipe A fills a tank in 4 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  32. 32.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
  33. 33.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?
  34. 34.Pipes A and B fill a tank in 9 and 18 hours. Pipe C empties the full tank in 24 hours. If all three are open, how many hours does the tank take to fill?
  35. 35.Pipes A and B together fill a tank in 10 hours. Pipe A alone fills it in 14 hours. How many hours does pipe B alone take?
  36. 36.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?
  37. 37.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?
  38. 38.Pipe A fills a tank in 12 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  39. 39.Pipe A fills a tank in 8 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  40. 40.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?

Answer key

  1. 30
  2. 10
  3. 35
  4. 10
  5. 12
  6. 60
  7. 6
  8. 36
  9. 34
  10. 45
  11. 14
  12. 12
  13. 20
  14. 15
  15. 30
  16. 12
  17. 12
  18. 38
  19. 40
  20. 18
  21. 15
  22. 56
  23. 6
  24. 60
  25. 56
  26. 72
  27. 16
  28. 15
  29. 48
  30. 4
  31. 3
  32. 2
  33. 32
  34. 8
  35. 35
  36. 30
  37. 110
  38. 8
  39. 6
  40. 4

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