Question

The water level in a pool is currently at 1/2 of an inch. Every hour, the water level increases 4.75 inches. How many hours will it take the water level to reach 33.75 inches?

Answer 1

7.1 hours

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

`y= 0.5+4.75x`

if y= 33.75 in, let us find x

`33.75= 0.5+4.75x\\\\33.75-0.5= 4.75x\\\\33.25= 4.75x\\\\`

divide both sides by 4.75

`x= 33.75/4.75\\\\x= 7.10`

Hence, it will take 7.1 hours