Question

Write the equivalent rate.

$\frac{\text{300mi}}{\text{20sec}}=\frac{?\text{mi}}{1\text{min}}$

Short answer

The equivalent rate of $\frac{\text{300mi}}{\text{20sec}}$ is 900 miles per minute.

Step-by-step solution

. Given

The given rate is$\frac{\text{300mi}}{\text{20sec}}$.

. To determine

We have to determine the equivalent rate in miles per minute.

. Calculation 

In order to find an equivalent rate, we will convert from miles per second to miles per minute.

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

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

$\begin{array}{l}\frac{\text{300mi}}{\text{20sec}}\\ \Rightarrow \frac{\text{300mi}}{\text{20sec}}\times \frac{\text{60sec}}{1\text{min}}\text{[Multiplyratebycommonconversionfactor]}\\ \Rightarrow \frac{\text{300mi}}{\underset{1}{\cancel{20}}\cancel{\text{sec}}}\times \frac{\stackrel{3}{\cancel{60}}\cancel{\text{sec}}}{1\text{min}}\left[\text{Divideoutcommonfactorandunit}\right]\\ \Rightarrow \frac{\text{900mi}}{1\text{min}}\left[\text{Simplify}\right]\end{array}$

So, the equivalent rate of $\frac{\text{300mi}}{\text{20sec}}$ is 900 miles per minute.