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Q35.

Expert-verified

Pre-algebra

Found in: Page 279

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

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

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

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1 . Given

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

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 $\frac{1 hour}{60 minutes} = 1$ .

$\begin{array}{l} \frac{45 min}{2 mi} \\ \Rightarrow \frac{45 min}{2 mi} \times \frac{1 h}{60 min} [Multiply rate by common conversion factor] \\ \Rightarrow \frac{\overset{3}{45} min}{2 mi} \times \frac{1 h}{\underset{4}{60} min} [Divide out common factor and unit] \\ \Rightarrow \frac{3 h}{8 mi} [Simplify] \end{array}$

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

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