Question

Andre ran 4 miles in 24 minutes.

What was his rate in miles per hour?

Responses

10 miles per hour
10 miles per hour

6 miles per hour
6 miles per hour

135 miles per hour
1 and 3 over 5 miles per hour

16 mile per hour
1 over 6 mile per hour

Answer 1

To find Andre's rate in miles per hour, we first convert the time from minutes to hours.

Since there are 60 minutes in an hour, we can convert 24 minutes to hours:

\[
\text{Hours} = \frac{24 \text{ minutes}}{60 \text{ minutes/hour}} = \frac{2}{5} \text{ hours}
\]

Now, we can use the formula for speed, which is:

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

Substituting the known values (distance = 4 miles and time = \(\frac{2}{5}\) hours):

\[
\text{Speed} = \frac{4 \text{ miles}}{\frac{2}{5} \text{ hours}} = 4 \text{ miles} \times \frac{5}{2} \text{ hours}^{-1} = 10 \text{ miles per hour}
\]

Thus, Andre's rate is **10 miles per hour**.