Question

Write the equivalent rate.

$\frac{5m}{1\sec }=\frac{?m}{1h}$

Short answer

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

Step-by-step solution

. Given

The given rate is$\frac{5\text{m}}{\text{1sec}}$ .

.To determine

We have to convert the given ratio from m per sec to m per hour form.

. Calculation

In order to convert the seconds into the hour, we will have to multiply the rate by a conversion factor.

$\text{Weknowthat1hour=3600\hspace{0.17em}seconds,so}\frac{3600\text{sec}}{1\text{hour}}=1.$

$\begin{array}{c}\frac{5\text{m}}{\text{1sec}}=\frac{5\text{m}}{\text{1sec}}\cdot \frac{3600\sec }{1\text{h}}\left[\text{Multiplyratebyconversionfactor.}\right]\\ =\frac{\text{18000m}}{\text{1h}}\left[\text{Divideoutcommonunitandsimplify.}\right]\end{array}$

Hence,

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

So, the required equivalent rate of $\frac{5\text{m}}{\text{1sec}}$ is$\frac{\text{18000m}}{\text{1h}}$ .