Question

The table shows the weekly change in the water level in a swimming pool. After 4 weeks, the pool owner adds water to return the water level back to the original level. Raising the water level by 1 inch requires 320 gallons. The water hose has a flow rate of 5.75 gallons of water per minute. Will it take less than an hour to fill the pool back to return the water level to the original level? Explain your reasoning.

Week: 1 2 3 4
Change (in.) : - 1/2 3/4 -1 1/8 -1 3/8

Answer 1

We know that 1 inch requires 320 gallons of water. Then we need a total of
`1(3)/(8)*320=440` gallons. Divide this by the speed the water comes out of the hose:

`440/5.75=76.52` minutes. Since this is more than 60, it will take over an hour to fill the pool.