pipes A and B can fill an empty tank in 8 hours and 12 hours respectively. if both the pipes are opened together, how many hours will it take to fill the empty tank?
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Step-by-step explanation:
Pipe A fills an empty tank in 12 hour
So pipe A fills a fraction 1/12 of the whole in one hour.
Similarly Pipe B fills a fraction 1/15 of the whole in one hour.
In one hour the fraction of the whole tank is filled when both pipes A and B are opened together = 1/12 + 1/15 = 5/60 + 4/60 = 9/60
The time taken to fill the empty tank completely when both pipes A and B are opened togetger = 60/9 hour = 6 hour 40 minute.
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