Question

word problems galore
ex. 2 gina opens her pool for the summer. it starts with 15,000 gallons of water. she needs to fill it up so she adds water at a rate of 2,000 gallons per hour. if her pool can hold 24,000 gallons, how long will it take to fill up?
word problems

Explanation:

Step1: Find the amount of water needed

The pool starts with 15,000 gallons and can hold 24,000 gallons. So the amount of water needed to fill it is \(24000 - 15000 = 9000\) gallons.

Step2: Calculate the time to fill

The rate of adding water is 2,000 gallons per hour. Let \(t\) be the time in hours. We know that rate \(\times\) time = amount of water. So \(2000t = 9000\). Solving for \(t\), we get \(t=\frac{9000}{2000}= 4.5\) hours.

Answer:

4.5 hours