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Two pipes A and B can alone fill a tank in 6 hours and 9 hours respectively. Pipe C can alone empty the same tank in 6 hours. If all three pipes are opened together, then in how many hours will the tank be filled?

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Two pipes A and B can alone fill a tank in 6 hours and 9 hours respectively. Pipe C can alone empty the same tank in 6 hours. If all three pipes are opened together, then in how many hours will the tank be filled?


1). 9
2). 18
3). 8
4). 6


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1 answers

3 vote
Answered by on | Votes 3 |

Tank filled by A in 1 hour = 1/6

Tank filled by B in 1 hour = 1/9

Tank emptied by C in 1 hour = 1/6

Tank filled in 1 hour when all 3 are opened = (1/6) + (1/9) - (1/6) = 1/9

∴ Tank will be filled in 9 hours.

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