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Q32.

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.$\text{\hspace{0.17em}\hspace{0.17em}}\frac{\text{390 m}}{\text{1 min}}=\frac{?\text{m}}{1\text{hr}}$

The equivalent rate of $\frac{\text{390 m}}{\text{1 min}}$ is 23400 meters per hour.

See the step by step solution

## Step 1 . Given

The given rate is$\frac{\text{390 m}}{\text{1 min}}$.

## Step 2 . To determine

We have to determine the equivalent rate in meter per hour.

## Step 3 . Calculation

In order to find an equivalent rate, we will convert from meters per minute to meters per hour.

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

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

$\begin{array}{l}\frac{\text{390 m}}{\text{1 min}}\\ ⇒\frac{\text{390 m}}{\text{1 min}}×\frac{\text{60 min}}{1\text{hr}}\text{}\left[\text{Multiply rate by common conversion factor}\right]\\ ⇒\frac{\text{390 m}}{\text{1}\overline{)\text{min}}}×\frac{\text{60}\overline{)\text{min}}}{1\text{hr}}\text{}\left[\text{Divide out common factor and unit}\right]\\ ⇒\frac{\text{23400 m}}{1\text{hr}}\left[\text{Simplify}\right]\end{array}$

So, the equivalent rate of $\frac{\text{390 m}}{\text{1 min}}$ is 23400 meters per hour.