SOLUTION: One hose can fill a small swimming pool in 50 minutes. A larger hose can fill the pool in 30 minutes. How long will it take the two hoses to fill the pool working together?

Question 592817: One hose can fill a small swimming pool in 50 minutes. A larger hose can fill the pool in 30 minutes. How long will it take the two hoses to fill the pool working together?

Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
The 1st hose fills this much of the pool per minute:
1 pool/50 mins = 1/50 pool/min
And the 2nd hose fills 1/30 of the pool every min.
Working together, the fill rate is 1/30 + 1/50 = 10/300 + 6/300 = 16/300 pool/min
Therefore it takes 300/16 = 18.75 mins to fill the pool.
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