SOLUTION: a swimming pool can be filled in 15 hours if water enters through a pipe alone, or in 22 hours if water enters through a hose alone. If water is entering through both the pipe and

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Question 852670: a swimming pool can be filled in 15 hours if water enters through a pipe alone, or in 22 hours if water enters through a hose alone. If water is entering through both the pipe and the hose, how long will it take to fill the pool 4/5 full?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
a swimming pool can be filled in 15 hours if water enters through a pipe alone, or in 22 hours if water enters through a hose alone. If water is entering through both the pipe and the hose, how long will it take to fill the pool 4/5 full?
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let x=time it takes to fill the pool 4/5 full if water is entering through both pipe and hose.
1/15=flow rate of pipe
1/22=flow rate of hose
amt of water=time of flow*flow rate
...
x%2F15%2Bx%2F22=4%2F5
(22x+15x)/22*15=4/5
37x/330=4/5
185x=1320
x≈7.14
time it takes to fill the pool 4/5 full≈7.14 hrs