SOLUTION: One hose can fill a small swimming pool and 65 minutes. A larger hose can fill a swimming pool in 35 minutes. How long will it take both hoses to fill the swimming pool?

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Question 1140971: One hose can fill a small swimming pool and 65 minutes. A larger hose can fill a swimming pool in 35 minutes. How long will it take both hoses to fill the swimming pool?
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
One hose can fill a small swimming pool and 65 minutes. A larger hose can fill a swimming pool in 35 minutes. How long will it take both hoses to fill the swimming pool?
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Assuming it's the same swimming pool:
65*35/(65+35) minutes
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It's a parallel work problem, been done 1000's of times on this site.
Look it up.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This problem exercise is too common.

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One hose can fill a tank and x minutes. A larger hose can fill the same tank in y minutes. How long will it take both hoses to fill the tank?
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"one hose" fill rate, 1%2Fx
other hose fill rate, 1%2Fy
Fill rate of the hose combined, sum of their rates.

1%2Fx%2B1%2Fy
%28y%2Bx%29%2Fxy

The highlight%28TIME%29 to fill the tank is highlight%28xy%2F%28x%2By%29%29.