Question

The martinez family walked three over five of a mile in three over eight of an hour. what is their unit rate in miles per hour?

Answer 1

In order to find the unit rate  in miles per hour, we will use the relation between velocity, time and distance.

$\text{Velocity}=\frac{\text{Distance}}{\text{Time}}$

$v=\frac{d}{t}$

We have been given that Martinez family walked three over five of a mile in three over eight of an hour. It means we have

$d=\frac{3}{5}\\ \\ t=\frac{3}{8}\\ \\ \text{Thus, we have}\\ \\ v=\frac{3/5}{3/8} \\ \\ v=\frac{3}{5} \times \frac{8}{3} \\ \\ v=\frac{8}{5}$

Therefore, the unit rate is $\frac{8}{5}$ miles per hour.