High School

Bella's pool is leaking. The pool leaked \(\frac{3}{4}\) gallon in 20 minutes, or \(\frac{1}{3}\) hour. How many gallons is the pool leaking each hour?

Answer :

Final answer:

The pool is leaking 9/4 gallon per hour.

Explanation:

To find out how many gallons the pool is leaking each hour, we need to determine the leakage rate per hour. The pool leaked 3/4 gallon in 20 minutes, which is equivalent to 1/3 hour.

To find the leakage rate per hour, we can set up a proportion: (3/4 gallon) / (1/3 hour) = x gallons / 1 hour. We can then cross multiply and solve for x.

Cross multiplying, we have: 3/4 * 1 hour = (1/3) * x gallons. Simplifying the equation, we get: 3/4 = x/3. Multiplying both sides by 3, we get: 9/4 = x. Therefore, the pool is leaking 9/4 gallon per hour.

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Answer:

9/4 gallons

Step-by-step explanation:

If the rate is 3/4 gallon per 1/3 of an hour, we need to figure out how to make the 1/3 into 1 hour.

Since it's 1/3, you have to multiply it by 3 to get 1. So, multiply 1/3 and 3/4 by 3:

The rate will be 3(3/4) gallons per 3(1/3) hour

The rate will be 9/4 gallons per 1 hour

Hope that helps! :D