Question

Write the equivalent rate.

$\frac{45\text{min}}{\text{2mi}}=\frac{?\text{h}}{1\text{mi}}$

Short answer

The equivalent rate of $\frac{45\text{min}}{\text{2mi}}$ is 0.375 hours per mile.

Step-by-step solution

. Given

The given rate is $\frac{45\text{min}}{\text{2mi}}$.

. To determine

We have to determine the equivalent rate in hours per mile.

. Calculation 

In order to find an equivalent rate, we will convert from minutes per mile to hours per mile.

For that, we multiply the rate by a conversion factor.

We know that 60 minutes = 1 hours, it means$\frac{1\text{hour}}{60\text{minutes}}=1$.

$\begin{array}{l}\frac{45\text{min}}{\text{2mi}}\\ \Rightarrow \frac{45\text{min}}{\text{2mi}}\times \frac{\text{1h}}{\text{60min}}\left[\text{Multiplyratebycommonconversionfactor}\right]\\ \Rightarrow \frac{\cancel{\stackrel{3}{45}}\cancel{\text{min}}}{\text{2mi}}\times \frac{\text{1h}}{\cancel{\underset{4}{\text{60}}}\cancel{\text{min}}}\left[\text{Divideoutcommonfactorandunit}\right]\\ \Rightarrow \frac{3\text{h}}{\text{8mi}}\left[\text{Simplify}\right]\end{array}$

So, the equivalent rate of $\frac{45\text{min}}{\text{2mi}}$ is 0.375 hours per mile.