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An empty swimming pool with a capacity of 5,760 gallons is filled at t [#permalink]
carcass wrote:
An empty swimming pool with a capacity of 5,760 gallons is filled at the rate of 12 gallons per minute. How many hours does it take to fill the pool to capacity' ?

(A) 8

(B) 20

(C) 96

(D) 480

(E) 720'


The time required to fill the whole pool= \(\frac{5760}{12}\) minutes = 480 minutes

conversion from minutes into hours =\(\frac{480}{60}\) hours
=8 hours
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Re: An empty swimming pool with a capacity of 5,760 gallons is filled at t [#permalink]
Expert Reply
1 minute = 12 gallons

=> 1 * 60 = 1 hour = 12 * 60 = 720 gallons

=> 8 hour = 720 * 8 = 5,760 gallons

Answer A
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Re: An empty swimming pool with a capacity of 5,760 gallons is filled at t [#permalink]
To find the time it takes to fill the pool to capacity, we can use the formula:

time = amount of work / rate of work

In this case, the "amount of work" is filling the pool to its capacity of 5,760 gallons. The "rate of work" is 12 gallons per minute.

The amount of work is given in gallons, so we need to express the rate of work in gallons per hour. There are 60 minutes in an hour, so the rate of work is:

12 gallons/minute x 60 minutes/hour = 720 gallons/hour

Now we can plug in the values and solve for time:

time = amount of work / rate of work
time = 5760 gallons / 720 gallons/hour
time = 8 hours

Therefore, the answer is (A) 8.
Re: An empty swimming pool with a capacity of 5,760 gallons is filled at t [#permalink]
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