Problema Solution

A garden hose can fill a swimming pool in 5 days, and a larger hose can fill the pool in 4 days. How long will it take to fill the pool if both hoses are used?

Answer provided by our tutors

In one day garden hose can fill 1/5 of pool.

In one day larger hose can fill 1/4 of pool.

Let 'x' represent the number of day that are needed for the pool to be filled when both hoses are used.

In one day both hoses will fill 1/x of pool.

1/5 + 1/4 = 1/x

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click here to see the equation solved for x

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x = 20/9 days

x = 2 days 2*24/9 hr

x = 2 days 5 hr

The both hoses are used it will take 2 days and 5 hours to fill the pool.