Question

frank runs 5 miles in 38 minutes. at the same rate, how many miles would he run in 57 minutes? miles

Explanation:

Step1: Find the rate per minute

First, we find the rate at which Frank runs. The rate is miles per minute, so we calculate the rate as $\frac{5 \text{ miles}}{38 \text{ minutes}}$.

Step2: Calculate miles in 57 minutes

To find the number of miles run in 57 minutes, we multiply the rate by 57 minutes. So the number of miles $m$ is given by the formula $m=\frac{5}{38}\times57$. Simplify $\frac{5\times57}{38}$. We can factor 57 as $3\times19$ and 38 as $2\times19$. So $\frac{5\times3\times19}{2\times19}=\frac{15}{2} = 7.5$.

Answer:

7.5