Math CentralQuandaries & Queries


Question from: Charlene,

A large hose will fill a pool in 40 minutes while it takes a smaller hose 60 minutes to fill the same pool. The same pool takes 80 minutes to drain if the drain is open. Suppose one day both the hoses are turned on, but by accident the drain was left open. How long would it take to fill the pool that day?

Hi Charlene,

I can get you started. Think of the data given in terms of rates. For example the large hose will fill the pool in 40 minutes so it is filling the tank at the rate of at $\large \frac{1}{40}$ pools per minute.

Is that enough of a hint for you to complete the problem?


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