Question

Nate’s work to solve a math problem is shown below.

Problem: Leona traveled 25 miles in Two-thirds of an hour. What was her average speed in miles per hour?

Answer 1

To find Leona's average speed in miles per hour (mph), we can use the formula:

\[
\text{Average speed} = \frac{\text{Distance}}{\text{Time}}
\]

From the problem, we know that:

- Distance = 25 miles
- Time = \(\frac{2}{3}\) hour

Now, we can plug these values into the formula:

\[
\text{Average speed} = \frac{25 \text{ miles}}{\frac{2}{3} \text{ hour}}
\]

To divide by a fraction, we can multiply by its reciprocal:

\[
\text{Average speed} = 25 \text{ miles} \times \frac{3}{2} = \frac{25 \times 3}{2} = \frac{75}{2} = 37.5
\]

Therefore, Leona's average speed is:

\[
\text{Average speed} = 37.5 \text{ miles per hour}
\]

In conclusion, Leona's average speed was 37.5 miles per hour.