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the rate that water is coming into the pool, is the amount of water in the pool (x) divided by the amount of time it take to fill the pool. x / 10

the rate to empty the pool is x / 15

the rate to fill the pool wile it is being emptied, is the rate filling the pool minus the rate emptying the pool.

x / 10 - x / 15

simplified

3x / 30 - 2x / 30

this gives x / 30

divide the rate the pool is filling, by the amount of water. (x / 30) / x this gives a time of 30 hours to fill the pool.

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Q: A swimming pool can be filled by one pipe in ten hours the drain pipe can empty the pool in 15 hours if both pipes are open how long will it take to fill the pool?
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