Pipes and Cisterns Worksheet
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.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.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?
- 3.Pipes A and B fill a tank in 3 and 12 hours. Pipe C empties the full tank in 6 hours. If all three are open, how many hours does the tank take to fill?
- 4.A tap fills a tank in 12 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?
- 5.Pipes A and B together fill a tank in 10 hours. Pipe A alone fills it in 15 hours. How many hours does pipe B alone take?
- 6.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?
- 7.Pipe A fills a tank in 15 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
- 8.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 15 hours. How many hours does pipe B alone take?
- 9.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?
- 10.Pipes A and B fill a tank in 4 and 9 hours. Pipe C empties the full tank in 3 hours. If all three are open, how many hours does the tank take to fill?
- 11.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?
- 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.A tap fills a tank in 11 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?
- 14.A tap fills a tank in 14 hours. A leak at the bottom empties the full tank in 28 hours. With both open, how many hours does the tank take to fill?
- 15.A tap fills a tank in 10 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?
- 16.Pipes A and B fill a tank in 6 and 18 hours. Pipe C empties the full tank in 5 hours. If all three are open, how many hours does the tank take to fill?
- 17.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?
- 18.A tap fills a tank in 16 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?
- 19.Pipe A fills a tank in 4 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
- 20.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?
- 21.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?
- 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.Pipes A and B together fill a tank in 8 hours. Pipe A alone fills it in 10 hours. How many hours does pipe B alone take?
- 24.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?
- 25.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?
- 26.Pipes A and B together fill a tank in 10 hours. Pipe A alone fills it in 20 hours. How many hours does pipe B alone take?
- 27.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?
- 28.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?
- 29.Pipe A fills a tank in 5 hours and pipe B fills it in 20 hours. How many hours do both pipes take together?
- 30.Pipes A and B together fill a tank in 21 hours. Pipe A alone fills it in 30 hours. How many hours does pipe B alone take?
- 31.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
- 32.A tap fills a tank in 20 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?
- 33.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?
- 34.Pipes A and B fill a tank in 15 and 20 hours. Pipe C empties the full tank in 30 hours. If all three are open, how many hours does the tank take to fill?
- 35.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?
- 36.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?
- 37.A tap fills a tank in 20 hours. A leak at the bottom empties the full tank in 25 hours. With both open, how many hours does the tank take to fill?
- 38.Pipes A and B together fill a tank in 14 hours. Pipe A alone fills it in 18 hours. How many hours does pipe B alone take?
- 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.Pipe A fills a tank in 6 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
Answer key
- 5
- 6
- 4
- 28
- 30
- 24
- 10
- 10
- 8
- 36
- 15
- 3
- 22
- 28
- 30
- 45
- 72
- 48
- 3
- 15
- 4
- 56
- 40
- 10
- 90
- 20
- 120
- 8
- 4
- 70
- 2
- 60
- 12
- 12
- 3
- 16
- 100
- 63
- 6
- 4
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