Question

michael ran 3 miles in 24 minutes. what is his average running speed in miles per hour? 6.5 miles per hour 7.5 miles per hour 8 miles per hour 7 miles per hour

Explanation:

Step1: Convert minutes to hours

Since 1 hour = 60 minutes, 24 minutes is $\frac{24}{60}$ hours. Simplify $\frac{24}{60}=\frac{2}{5}$ hours.

Step2: Use the speed formula

Speed is calculated by the formula $speed = \frac{distance}{time}$. The distance is 3 miles and the time is $\frac{2}{5}$ hours. So, $speed=\frac{3}{\frac{2}{5}}$.

Step3: Calculate the speed

Dividing by a fraction is the same as multiplying by its reciprocal, so $\frac{3}{\frac{2}{5}} = 3\times\frac{5}{2}=\frac{15}{2} = 7.5$ miles per hour.

Answer:

7.5 miles per hour (corresponding to the option: 7.5 miles per hour)