Question

A swimming pool is being filled at the rate of 12 cubic yards per minute. If the pool is 18 yards long, 10 yards wide, and 3 yards deep, how many minutes will it take to fill the pool?

Answer 1

(18*10*3yd^3)(min/12yd^3)

540yd^3(min/12yd^3)=45 minutes

Answer 2

The time taken to fill the pool is 45 minutes.

Explanation:

Given : A swimming pool is being filled at the rate of 12 cubic yards per minute. If the pool is 18 yards long, 10 yards wide, and 3 yards deep.

To find : How many minutes will it take to fill the pool?

Solution :

First we find the volume of the swimming pool.

Dimension of pool,

Length = 18 yards

Wide = 10 yards

Depth = 3 yards

The volume of the pool is

`V=l* w* h`

`V=18* 10* 3`

`V=540`

The volume of the swimming pool is 540 yard cube.

The rate of filling the pool is r=12 cubic yards per minute.

We know, Time taken is

`Time=(Volume)/(rate)`

`Time=(540)/(12)`

`Time=45`

Therefore, The time taken to fill the pool is 45 minutes.