Answer:
7.1 hours
Step-by-step explanation:
Given data
Let the number of hours taken to fill the pool be x
the current quantity is 1/2 the capacity of the pool
we are given that the rate of flow = 4.75 in per hour
let the total amount of water after x hours be y, the expression for the quantity of water is given as
[tex]y= 0.5+4.75x[/tex]
if y= 33.75 in, let us find x
[tex]33.75= 0.5+4.75x\\\\33.75-0.5= 4.75x\\\\33.25= 4.75x\\\\[/tex]
divide both sides by 4.75
[tex]x= 33.75/4.75\\\\x= 7.10[/tex]
Hence, it will take 7.1 hours
