SOLUTION: An inlet pipe on a swimming pool can be used to fill the pool in 34 hours. The drain pipe can be used to empty the pool in 35 hours. if the pool is 1/2 filled and then the Inlet

Question 1061623: An inlet pipe on a swimming pool can be used to fill the pool in 34 hours. The drain pipe can be used to empty the pool in 35 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!
inlet pipe will fill the pool in 34 hours. Every hour, it fills 1/34 of the pool
Outlet pipe will empty the pool in 35 hours. Every hour, it empties 1/35 of the pool.
In x hours we want 1/2 the pool to fill, since half is already filled.
We want (x/34)-(x/35)=1/2
multiply by 1190 both sides, the LCD.
35x-34x=595 (1190/2)
x=595 hours
in that time 595/34-595/35=0.5
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