SOLUTION: 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

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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?
Found 2 solutions by solver91311, lwsshak3:
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

I think for this one I would calculate the time to fill the entire pool, then take 2/3 of that.

If it takes 32 hours to fill the pool with the inlet, then the inlet can fill of the pool in one hour. Likewise, the drain can empty of the pool in one hour. With both valves open, the pool will fill (fill because ) at a rate of of the pool in 1 hour, so working against one another the entire pool would fill in 96 hours.

So to fill of the pool it would take hours.

John

My calculator said it, I believe it, that settles it

Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website!
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