On rainy days, Francesca likes to ride the stationary bike at the gym. Yesterday, she rode for 30 minutes and covered 6 miles. Today, she plans to ride 8 miles.

Question

If she rides at the same rate, how many minutes will it take Francesca to ride today?

Answer 1

To find out how long it will take Francesca to ride 8 miles today, we first need to determine her riding rate based on her performance yesterday.

Yesterday, Francesca rode 6 miles in 30 minutes. We can calculate her riding rate using the following formula:

\[ \text{Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{6 \text{ miles}}{30 \text{ minutes}} = \frac{1}{5} \text{ miles per minute} \]

Next, we need to determine how long it will take her to ride 8 miles at this rate. Using the formula for time, we have:

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

Substituting in her distance for today and her rate:

\[ \text{Time} = \frac{8 \text{ miles}}{\frac{1}{5} \text{ miles per minute}} = 8 \text{ miles} \times 5 \text{ minutes per mile} = 40 \text{ minutes} \]

Therefore, it will take Francesca 40 minutes to ride 8 miles today.