An empty swimming pool with a capacity of 5,760 gallons is filled at t

Question

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'

sashiim20 · Accepted Answer

12 gallons are filled in 1 minute. Gallons filled in 60 mins = 12 x 60 = 720 gallons in 1 hour. Total capacity of pool = 5760 gallons 720 gallons are filled in 1 hour. Total Hours to fill 5760 gallons = \frac{5760}{720} = 8 hours. Answer A... _________________ Kindly press "+1 Kudos" to appreciate

NandishSS · Answer

Time Taken to fill = 5760/12 = 480 Min

Convert 480 min to Hrs=480/60=8

Hence A

HouseStark · Answer

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

MathRevolution · Answer

1 minute = 12 gallons

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

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

Answer A

ArnauG · Answer

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.

sherifY · Answer

I personally struggle with this long division. One way i did it was as follows

12 GPM -> 12*60 GPH

5760 = 576 *10 ; 576 = 288*2; 288=144*2

Then i get: 144*4*5*2/12*12*5 
I cancel out the 12^2 and the 144; and i cancel out the 5s i am left with 8

Sneha2021 · Answer

GMAT rarely test on calculation, so try to look for ways to skip long calculation

If we know 576 = 24^2
Time = 5760/12*60 = 24*24*10/12*60 = 2*24/6= 8

Another way to skip long calculation: Approximate when options are scattered
Rate in hrs = 12*60= 720 gallons/hr

In 10 hrs = 7200 gallons/hr and we need to know 5760 in how many hours
So answer must be less than 10 hrs, only option A is less than 10 hrs

An empty swimming pool with a capacity of 5,760 gallons is filled at t

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An empty swimming pool with a capacity of 5,760 gallons is filled at t

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