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Question 1076172: An inlet pipe on a swimming pool can be used to fill the pool in 6 hours. The drain pipe can be used to empty the pool in 8 hours. If the pool is 1/2 filled and then the inlet pipe and drain pipe are opened, how long from that time will it take to fill the pool?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! The inlet pipe can fill 1/6 of the pool per hour, the drain empties 1/8 of the pool per hour.
In x hours, (x/6)-(x/8)=1/2
multiply through by 24
4x-3x=12
x=12 hours ANSWER
The inlet pipe will fill the equivalent of 2 pools, and the drain empties the equivalent of 1.5 pools, for half a pool.
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