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If water is pumped into a 36 gallon pool at an average rate of 3 gallons per hour, at what average rate, in gallons per hour, must water be pumped out of the pool so that it takes 48 hoursfor the pool to be filled to capacity?

Verified Answer :

If the pool must be filled to 3636 gallons in 4848 hours, the water must be flowing in at a net rate of 3/43/4gallon per hour. The input supplies 33 gallons, so the output must be 3−3/4=9/43−3/4=9/4 gallons per hour.

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Answer:

The answer is 9/4 hours per gallon.

Step-by-step explanation:

As given, the  water is pumped into a 36 gallon pool at an average rate of 3 gallons per hour.

So, to fill the pool 36 gallons per 48 hours, the net rate should be = \(\frac{36}{48}=\frac{3}{4}\) gallons per hour

The inflow gives 3 gallons, so the outflow will be=

\(3-\frac{3}{4}\)

= \(\frac{12-3}{4}=\frac{9}{4}\) gallons per hour.

So, the answer is 9/4 hours per gallon.

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