Question

Write the equivalent rate.

$\frac{5cm}{1\min }=\frac{?cm}{1h}$

Short answer

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

Step-by-step solution

.  Given

The given rate is$\frac{5\text{cm}}{\text{1min}}$ .

.To determine

We have to convert the given ratio from cm per min to cm per hour form.

. Calculation

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

$\begin{array}{l}\text{Weknowthat1hour=60minutes,so}\frac{60\text{min}}{1\text{hour}}=1.\\ \frac{5\text{cm}}{1\text{min}}=\frac{5\text{cm}}{1\text{min}}\cdot \frac{60\text{min}}{1\text{hour}}\left[\text{Multiplyratebyconversionfactor.}\right]\\ =\frac{300\text{cm}}{1\text{hour}}.\left[\text{Canceloutcommonunitsandsimplify}\right]\end{array}$

Hence,

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

So, the required equivalent rate of$\frac{5\text{cm}}{\text{1min}}$is$\frac{300\text{cm}}{\text{1hour}}$.