Answer:
t = 12.37 [min]
Explanation:
In order to solve this problem we must first convert units of gallons to cubic feet.
[tex]V = 5.25\frac{gal}{min}*231\frac{ft^{3} }{1gal} \\V = 1212.75[\frac{ft^{3} }{min} ][/tex]
where:
V = volumetric flow = 1212.75 [ft^3/min]
And the volume of the pool can be calculated as follows :
v = 33.8*40*11.1 = 15007.2 [ft^3]
The volumetric flow is equal to:
V = v/t
where t is the time
t = v/V
t = 15007.2/1212.75
t = 12.37 [min]
