Question

On weekday mornings, it takes Leo 12 minutes to bike 2 miles to his school. This Saturday, Leo will bike to the park to meet his friends. The park is 5 miles away from Leo's house.
If he bikes at the same rate, how many minutes will it take Leo to get to the park?

Answer 1

To determine how long it will take Leo to bike to the park, we first need to calculate his biking rate.

Leo takes 12 minutes to bike 2 miles. Therefore, his rate in miles per minute can be calculated as follows:

\[
\text{Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{2 \text{ miles}}{12 \text{ minutes}} = \frac{1}{6} \text{ miles per minute}
\]

Next, we need to find out how long it will take him to bike 5 miles at this rate. We can use the formula:

\[
\text{Time} = \frac{\text{Distance}}{\text{Rate}}
\]

Substituting the values:

\[
\text{Time} = \frac{5 \text{ miles}}{\frac{1}{6} \text{ miles per minute}}
\]

Dividing by a fraction is the same as multiplying by its reciprocal:

\[
\text{Time} = 5 \text{ miles} \times 6 \text{ minutes per mile} = 30 \text{ minutes}
\]

Therefore, it will take Leo 30 minutes to get to the park.

\[
\text{Final answer: } 30 \text{ minutes}
\]