Question

Write the equivalent rate.

$\frac{\text{390m}}{\text{1min}}=\frac{?\text{m}}{1\text{hr}}$

Short answer

The equivalent rate of $\frac{\text{390m}}{\text{1min}}$ is 23400 meters per hour.

Step-by-step solution

. Given

The given rate is$\frac{\text{390m}}{\text{1min}}$.

. To determine

We have to determine the equivalent rate in meter per hour.

. Calculation 

In order to find an equivalent rate, we will convert from meters per minute to meters per hour.

For that, we multiply the rate by a conversion factor.

We know that 60 minutes = 1 hour, it means.$\frac{60\text{min}}{1\text{hr}}=1$

$\begin{array}{l}\frac{\text{390m}}{\text{1min}}\\ \Rightarrow \frac{\text{390m}}{\text{1min}}\times \frac{\text{60min}}{1\text{hr}}\left[\text{Multiplyratebycommonconversionfactor}\right]\\ \Rightarrow \frac{\text{390m}}{\text{1}\cancel{\text{min}}}\times \frac{\text{60}\cancel{\text{min}}}{1\text{hr}}\left[\text{Divideoutcommonfactorandunit}\right]\\ \Rightarrow \frac{\text{23400m}}{1\text{hr}}\left[\text{Simplify}\right]\end{array}$

So, the equivalent rate of $\frac{\text{390m}}{\text{1min}}$ is 23400 meters per hour.