Question

A runner sprints 1/2 of a mile in 1/15 hour.

Answer 1

To find the speed of the runner, we can use the formula for speed, which is:

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

In this case, the distance is \( \frac{1}{2} \) mile and the time is \( \frac{1}{15} \) hour.

Substituting the values into the formula:

\[
\text{Speed} = \frac{\frac{1}{2} \text{ mile}}{\frac{1}{15} \text{ hour}}
\]

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

\[
\text{Speed} = \frac{1}{2} \times \frac{15}{1} = \frac{15}{2} \text{ miles per hour}
\]

This simplifies to:

\[
\text{Speed} = 7.5 \text{ miles per hour}
\]

Therefore, the runner's speed is **7.5 miles per hour**.