Question

RACE Jennie ran the first 6 miles of a marathon in 58 minutes. If she is able to maintain the same pace, how long will it take her to finish the 26.2 miles?

Short answer

The time taken to finish 26.2 miles is $n=253.26\text{minutes}$.

Step-by-step solution

Step-1. Write down the given scale.

The given scale is:

6 miles = 58 minutes.

Step-2. Evaluate the time by time-speed-distance formula.

As, $\text{Speed=}\frac{\text{Distance}}{\text{Time}}$and speed remains the same. Therefore, the proportion can be written as:

role="math" localid="1642708378122" $$\begin{gathered} \frac{6}{58}=\frac{26.2}{n} \\ n\left(6\right)=26.2\left(58\right) \\ 6n=1519.6 \\ \frac{6n}{6}=\frac{1519.6}{6} \\ n=253.26\text{minutes} \end{gathered}$$

Step-3. Conclusion from evaluated time.

The time taken to finish 26.2 miles is $n=253.26\text{minutes}$.