Question

To fill a pool, Barb uses two hoses. The first hose is rated to fill the pool in 10 hours. The second hose is rated to fill it in 5 hours. If Barb adds a third hose that uses the slower rate, how long will it take to fill the pool ?

Answer 1

Answer: hose Is raled to fill Ihe pool in 10 hours erhe To fill a pool, Barb uses two hosesThe first third hose that uses {ha slower to fill it in 5 hours. If Barb adds second hose is rated "long will it take to fill the pool?

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Answer 2

It will take 10/3 hours to fill the pool when both the hoses will work together.

The first hose is rated to fill the pool in 10 hours.

This means, In one hour hose will fill 1/10th part of the pool.

The second hose is rated to fill the pool in 5 hours

This means, In one hour hose will fill 1/5th part of the pool.

What will be the total part of the pool to be filled?

The total part of the pool to be filled will be 1.

Let us suppose both the hoses working together takes t hours to fill the pool

So, the first hose will fill the t/10th part of the pool.

The second hose will fill the t/5th part of the pool.

So, $\frac{t}{10} +\frac{t}{5} =1$

15t =50

t=10/3

Therefore, It will take 10/3 hours to fill the pool when both the hoses will work together.

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