Question 620951
an inlet pipe on a swimming pool can be used to fill a pool in 32 hours. The drain pipe can be used to empty the pool in 48 hours. If the pool is 1/3 filled and then the inlet pipe and drain pipe are opened, how long from that time will it take to fill the pool?
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let x=time it will take to fill the pool
..
1/32=work rate of inlet pipe
1/48=work rate of drain pipe
volume of flow=work rate*time
remaining fraction of pool to be filled=2/3
..
1/32*x-1/48*x=2/3
x/32-x/48=2/3
48x-32x=2*48*32/3
16x=1024
x=64
time it will take to fill the pool=64 hrs