Chapter 6, Problem 6CT

To determine

To write : the equivalent rate.

Answer to Problem 6CT

The equivalent rate is $\frac{8.5\text{ km}}{1\text{ h}}=\frac{\text{? m}}{1\text{ h}}$ is $\frac{8.5\text{ km}}{1\text{ h}}=\frac{\text{8500 m}}{1\text{ h}}$

Explanation of Solution

Given information :

Consider, the proportion

  $\frac{8.5\text{ km}}{1\text{ h}}=\frac{\text{? m}}{1\text{ h}}$

Calculation:

To convert from kilometre per hours to meter per hours, multiply the rate by a conversion factor. There are 1000 meter in one kilometre so, $\frac{\text{1 kilometer}}{\text{1000 meter}}=1$

Therefore,

  $\begin{array}{l}\frac{8.5\text{ km}}{1\text{ h}}=\frac{\text{8}\text{.5}\cdot \text{1000 m}}{1\text{ h}}\left[\text{multiply by conversion factor}\right]\\ \frac{8.5\text{ km}}{1\text{ h}}=\frac{\text{8500 m}}{1\text{ h}}\end{array}$

Hence,The equivalent rate of the proportion $\frac{8.5\text{ km}}{1\text{ h}}=\frac{\text{? m}}{1\text{ h}}$ is $\frac{8.5\text{ km}}{1\text{ h}}=\frac{\text{8500 m}}{1\text{ h}}$