Question
Last summer, the Abrams family had a 30-gallon baby pool that they could fill in just 2 minutes. This summer, they purchased a larger kiddie pool that holds 150 gallons of water.
If the Abrams fill the larger pool at the same rate, how long will it take to fill it?
minutes
If the Abrams fill the larger pool at the same rate, how long will it take to fill it?
minutes
Answers
GPT-4o mini
To find out how long it will take to fill the larger kiddie pool, we first need to determine the filling rate of the baby pool.
The baby pool holds 30 gallons and takes 2 minutes to fill. The filling rate is:
\[
\text{Filling rate} = \frac{30 \text{ gallons}}{2 \text{ minutes}} = 15 \text{ gallons per minute}
\]
Now, we have a larger kiddie pool that holds 150 gallons. To find the time it takes to fill this larger pool at the same rate, we'll use the formula:
\[
\text{Time} = \frac{\text{Volume}}{\text{Filling rate}}
\]
Substituting in the values for the larger pool:
\[
\text{Time} = \frac{150 \text{ gallons}}{15 \text{ gallons per minute}} = 10 \text{ minutes}
\]
Thus, it will take **10 minutes** to fill the larger kiddie pool.
The baby pool holds 30 gallons and takes 2 minutes to fill. The filling rate is:
\[
\text{Filling rate} = \frac{30 \text{ gallons}}{2 \text{ minutes}} = 15 \text{ gallons per minute}
\]
Now, we have a larger kiddie pool that holds 150 gallons. To find the time it takes to fill this larger pool at the same rate, we'll use the formula:
\[
\text{Time} = \frac{\text{Volume}}{\text{Filling rate}}
\]
Substituting in the values for the larger pool:
\[
\text{Time} = \frac{150 \text{ gallons}}{15 \text{ gallons per minute}} = 10 \text{ minutes}
\]
Thus, it will take **10 minutes** to fill the larger kiddie pool.