Question

Write the equivalent rate.

$\frac{15\text{mi}}{1\text{h}}=\frac{?\text{ft}}{1\text{h}}$

Short answer

The equivalent rate of $\frac{15\text{mi}}{1\text{h}}$ is 79200 feet per hour.

Step-by-step solution

. Given

The given rate is$\frac{15\text{mi}}{1\text{h}}$ .

. To determine

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

. Calculation 

In order to find an equivalent rate, we will convert from miles per hour to feet per hour.

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

We know that 5280 feet = 1 mile, it means.$\frac{5280\text{ft}}{1\text{mi}}=1$

$\begin{array}{l}\frac{15\text{mi}}{1\text{hr}}\\ \Rightarrow \frac{15\text{mi}}{1\text{hr}}\times \frac{5280\text{ft}}{1\text{mi}}\left[\text{Multiplyratebycommonconversionfactor}\right]\\ \Rightarrow \frac{15\cancel{\text{mi}}}{1\text{hr}}\times \frac{5280\text{ft}}{1\cancel{\text{mi}}}\left[\text{Divideoutcommonfactorandunit}\right]\\ \Rightarrow \frac{79200\text{ft}}{1\text{hr}}\left[\text{Simplify}\right]\end{array}$$\begin{array}{l}\frac{15\text{mi}}{1\text{hr}}\\ \Rightarrow \frac{15\text{mi}}{1\text{hr}}\times \frac{5280\text{ft}}{1\text{mi}}\left[\text{Multiplyratebycommonconversionfactor}\right]\\ \Rightarrow \frac{15\cancel{\text{mi}}}{1\text{hr}}\times \frac{5280\text{ft}}{1\cancel{\text{mi}}}\left[\text{Divideoutcommonfactorandunit}\right]\\ \Rightarrow \frac{79200\text{ft}}{1\text{hr}}\left[\text{Simplify}\right]\end{array}$

So, the equivalent rate of$\frac{15\text{mi}}{1\text{h}}$ is 79200 feet per hour.