Chapter 6.1, Problem 32E

To determine

To calculate: The equivalent rate.

Answer to Problem 32E

The equivalent rate is $23400$ meters per hour..

Explanation of Solution

Given information:

The following equivalent fractions:

  $\frac{\text{390 m}}{\text{1 min}}=\frac{?\text{ m}}{1\text{ hr}}$

Calculation:

To find an equivalent rate, convert from meters per minute to meters per hour. To do so, multiply the rate by a conversion factor. There are $60$ minutes in $1$ hour, so $\frac{60\text{ min}}{1\text{ hr}}=1$ .

  $\begin{array}{l}\frac{\text{390 m}}{\text{1 min}}\\ \Rightarrow \frac{\text{390 m}}{\text{1 min}}\times \frac{\text{60 min}}{1\text{ hr}} \left[\text{Multiply rate by common conversion factor}\right]\\ \Rightarrow \frac{\text{390 m}}{\text{1 }\cancel{\text{min}}}\times \frac{\text{60 }\cancel{\text{min}}}{1\text{ hr}}\left[\text{Divide out common factor and unit}\right]\\ \Rightarrow \frac{\text{23400 m}}{1\text{ hr}} \left[\text{Simplify}\right]\end{array}$ Therefore, the equivalent rate is $23400$ meters per hour..