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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 225 · 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.Pipe A fills a tank in 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  2. 2.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?
  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.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.Pipe A fills a tank in 4 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  6. 6.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?
  7. 7.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?
  8. 8.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?
  9. 9.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?
  10. 10.Pipe A fills a tank in 6 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  11. 11.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?
  12. 12.Pipe A fills a tank in 5 hours and pipe B fills it in 20 hours. How many hours do both pipes take together?
  13. 13.Pipe A fills a tank in 12 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  14. 14.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?
  15. 15.A tap fills a tank in 3 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 10 hours and pipe B fills it in 15 hours. How many hours do both pipes take together?
  17. 17.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 10 hours. How many hours does pipe B alone take?
  18. 18.Pipe A fills a tank in 9 hours and pipe B fills it in 18 hours. How many hours do both pipes take together?
  19. 19.Pipes A and B fill a tank in 15 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?
  20. 20.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?
  21. 21.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?
  22. 22.Pipes A and B together fill a tank in 5 hours. Pipe A alone fills it in 10 hours. How many hours does pipe B alone take?
  23. 23.Pipe A fills a tank in 21 hours and pipe B fills it in 28 hours. How many hours do both pipes take together?
  24. 24.Pipes A and B together fill a tank in 3 hours. Pipe A alone fills it in 6 hours. How many hours does pipe B alone take?
  25. 25.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
  26. 26.Pipes A and B fill a tank in 5 and 15 hours. Pipe C empties the full tank in 10 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 fill a tank in 3 and 4 hours. Pipe C empties the full tank in 12 hours. If all three are open, how many hours does the tank take to fill?
  29. 29.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?
  30. 30.A tap fills a tank in 12 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?
  31. 31.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?
  32. 32.A tap fills a tank in 6 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?
  33. 33.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?
  34. 34.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?
  35. 35.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?
  36. 36.Pipes A and B fill a tank in 12 and 15 hours. Pipe C empties the full tank in 10 hours. If all three are open, how many hours does the tank take to fill?
  37. 37.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?
  38. 38.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?
  39. 39.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?
  40. 40.Pipes A and B fill a tank in 5 and 15 hours. Pipe C empties the full tank in 6 hours. If all three are open, how many hours does the tank take to fill?

Answer key

  1. 5
  2. 99
  3. 12
  4. 6
  5. 3
  6. 15
  7. 6
  8. 72
  9. 12
  10. 4
  11. 30
  12. 4
  13. 8
  14. 36
  15. 6
  16. 6
  17. 15
  18. 6
  19. 30
  20. 4
  21. 3
  22. 10
  23. 12
  24. 6
  25. 2
  26. 6
  27. 30
  28. 2
  29. 45
  30. 48
  31. 8
  32. 12
  33. 5
  34. 15
  35. 72
  36. 20
  37. 3
  38. 12
  39. 12
  40. 10

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