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Q35.

Expert-verified
Found in: Page 279

### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

# Write the equivalent rate.$\frac{45\text{min}}{\text{2 mi}}=\frac{?\text{h}}{1\text{mi}}$

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

See the step by step solution

## Step 1 . Given

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

## Step 2 . To determine

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

## Step 3 . 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$\frac{1\text{hour}}{60\text{minutes}}=1$.

$\begin{array}{l}\frac{45\text{min}}{\text{2 mi}}\\ ⇒\frac{45\text{min}}{\text{2 mi}}×\frac{\text{1 h}}{\text{60 min}}\text{}\left[\text{Multiply rate by common conversion factor}\right]\\ ⇒\frac{\overline{)\stackrel{3}{45}}\text{}\overline{)\text{min}}}{\text{2 mi}}×\frac{\text{1 h}}{\overline{)\underset{4}{\text{60}}}\text{}\overline{)\text{min}}}\text{}\left[\text{Divide out common factor and unit}\right]\\ ⇒\frac{3\text{h}}{\text{8 mi}}\text{}\left[\text{Simplify}\right]\end{array}$

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

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