Chapter 6.1, Problem 2C

To determine

Tocalculate : The equivalent rate of the given ratio.

Answer to Problem 2C

The equivalent rate of $\frac{5\text{ cm}}{\text{1 min}}$ is $\frac{300\text{ cm}}{\text{1 hour}}$ .

Explanation of Solution

Given information :

The rate given in the question:

  $\frac{5\text{ cm}}{\text{1 min}}$

  $\text{Convert cm per min to cm per hour}\text{.}$

Calculation :

As per the given problem,

Consider the rate:

  $\frac{5\text{ cm}}{\text{1 min}}$

To convert minutes into hour, multiply the rate by a conversion factor.

  $\begin{array}{l}\text{In 1 hour, there are 60 minutes, so }\frac{60\text{ min}}{1\text{ hour}}=1.\\ \frac{5\text{ cm}}{1\text{ min }}=\frac{5\text{ cm}}{1\text{ min}}\cdot \frac{60\text{ min}}{1\text{ hour}}\left[\text{Multiply rate by conversion factor}\text{.}\right]\\ =\frac{300\text{ cm}}{1\text{ hour}}.\left[\text{Cancel out common units and simplify}\right]\end{array}$

Therefore,

  $\frac{5\text{ cm}}{\text{1 min}}=\frac{300\text{ cm}}{\text{1 hour}}$

Hence,

The equivalent rate of $\frac{5\text{ cm}}{\text{1 min}}$ is $\frac{300\text{ cm}}{\text{1 hour}}$ .