Questions: It takes a runner 9 seconds to run 132 feet. What is the runner's speed in miles per hour? (5280 ft=1 mile)

Solution Steps

First, we need to determine the runner's speed in feet per second. The runner covers 132 feet in 9 seconds. Therefore, the speed in feet per second is:

\[ \text{Speed} = \frac{132 \text{ feet}}{9 \text{ seconds}} = 14.6667 \text{ feet per second} \]

Next, we convert the speed from feet per second to miles per hour. We know that there are 5280 feet in a mile and 3600 seconds in an hour. Thus, the conversion is:

\[ \text{Speed in miles per hour} = 14.6667 \times \frac{1 \text{ mile}}{5280 \text{ feet}} \times 3600 \text{ seconds per hour} \]

Calculating this gives:

\[ \text{Speed in miles per hour} = 14.6667 \times \frac{3600}{5280} \approx 10.0000 \]

Final Answer