Question
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.
If she rides at the same rate, how many minutes will it take Francesca to ride today?
If she rides at the same rate, how many minutes will it take Francesca to ride today?
Answers
GPT-4o mini
To find out how long it will take Francesca to ride 8 miles at the same rate she rode yesterday, we first need to determine her rate of riding.
Yesterday, she rode for 30 minutes and covered 6 miles. We can calculate her rate (in miles per minute) using the formula:
\[
\text{Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{6 \text{ miles}}{30 \text{ minutes}} = \frac{1}{5} \text{ miles per minute}
\]
This means she rides at a rate of \( \frac{1}{5} \) miles per minute.
Now, we want to find out how long it will take her to ride 8 miles at this same rate. We can use the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Rate}}
\]
Substituting the known values:
\[
\text{Time} = \frac{8 \text{ miles}}{\frac{1}{5} \text{ miles per minute}} = 8 \times 5 = 40 \text{ minutes}
\]
Therefore, it will take Francesca **40 minutes** to ride 8 miles today.
Yesterday, she rode for 30 minutes and covered 6 miles. We can calculate her rate (in miles per minute) using the formula:
\[
\text{Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{6 \text{ miles}}{30 \text{ minutes}} = \frac{1}{5} \text{ miles per minute}
\]
This means she rides at a rate of \( \frac{1}{5} \) miles per minute.
Now, we want to find out how long it will take her to ride 8 miles at this same rate. We can use the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Rate}}
\]
Substituting the known values:
\[
\text{Time} = \frac{8 \text{ miles}}{\frac{1}{5} \text{ miles per minute}} = 8 \times 5 = 40 \text{ minutes}
\]
Therefore, it will take Francesca **40 minutes** to ride 8 miles today.