Chapter 6.1, Problem 3C

To determine

To calculate : The equivalent rate of the given ratio.

Answer to Problem 3C

The equivalent rate of $\frac{5\text{ m}}{\text{1 sec}}$ is $\frac{\text{ 18000 m}}{\text{1 h}}$ .

Explanation of Solution

Given information :

Consider the rate given in the question:

  $\frac{5\text{ m}}{\text{1 sec}}$

  $\text{Convert m per sec to m per hour}$ .

Calculation :

As per the given problem,

Consider the rate:

  $\frac{5\text{ m}}{\text{1 sec}}$

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

In $1$ hour, there are $60$ minutes and in $1$ minute, there are $60$ seconds, so $\frac{60.60\sec }{1\text{ h}}=1$ , that is, $\frac{3600\sec }{1\text{ h}}=1.$

  $\begin{array}{l}\frac{5\text{ m}}{\text{1 sec}}=\frac{5\text{ m}}{\text{1 sec}}\cdot \frac{3600\sec }{1\text{ h}}\left[\text{Multiply rate by conversion factor}\text{.}\right]\\ =\frac{\text{ 18000 m}}{\text{1 h}}\left[\text{Divide out common unit and simplify}\text{.}\right]\end{array}$

Therefore,

  $\frac{5\text{ m}}{\text{1 sec}}=\frac{\text{ 18000 m}}{\text{1 h}}$

Hence,

The equivalent rate of $\frac{5\text{ m}}{\text{1 sec}}$ is $\frac{\text{ 18000 m}}{\text{1 h}}$ .