Answer:
13 hours
Step-by-step explanation:
The time, quantity, and rate are related by ...
time = quantity / rate
The rate is given in quarts per minute, but the capacity is given in gallons. We know that 4 quarts is 1 gallon, so we can change the rate to gallons per minute:
(72 qt/min)×(1 gal)/(4 qt) = 18 gal/min
Now, we can use the above formula to find the time to fill the pool:
time = (14040 gal)/(18 gal/min) = (14040/18) min = 780 min
This is a difficult time to relate to, so we choose to change it to hours:
(780 min)×(1 h)/(60 min) = 780/60 h = 13 h
It will take 13 hours to fill the pool.