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.

Question

If he bikes at the same rate, how many minutes will it take Leo to get to the park?

Answer 1

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

From the information given, Leo takes 12 minutes to bike 2 miles. We can calculate his biking rate as follows:

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

Now that we know his biking rate, we can use it to calculate how long it will take him to bike the 5 miles to the park. We can set up the equation using the formula:

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

Substituting in the distance to the park and his biking rate:

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

This can be simplified:

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

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