Q7. - Algebra 1

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?

Step-by-Step Solution

Answer

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

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:

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

Step-3. Conclusion from evaluated time.

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