Question

sam ran 63,756 feet in 70 minutes. what is sams rate in miles per hour? (there are 5,280 feet in one mile.)

step 2: what factor is used to convert feet per minute into miles per minute?

step 3: what factor is used to convert miles per minute to miles per hour?

$\frac{63,756\text{ ft}}{70\text{ min}}$
$=\frac{63,756\text{ ft}}{70\text{ min}} \cdot \frac{1\text{ mi}}{5,280\text{ ft}}$

Explanation:

Step1: Find ft/min rate

$\frac{63,756\ \text{ft}}{70\ \text{min}}$

Step2: Convert ft to miles

Multiply by $\frac{1\ \text{mi}}{5,280\ \text{ft}}$:
$\frac{63,756}{70} \times \frac{1}{5,280}\ \text{mi/min}$

Step3: Convert min to hours

Multiply by $\frac{60\ \text{min}}{1\ \text{hr}}$:
$\frac{63,756}{70} \times \frac{1}{5,280} \times 60\ \text{mi/hr}$

Step4: Calculate final value

$\frac{63,756 \times 60}{70 \times 5,280} = 10.2$

Answer:

Step 2: $\frac{1\ \text{mi}}{5,280\ \text{ft}}$
Step 3: $\frac{60\ \text{min}}{1\ \text{hr}}$
Final rate: $10.2$ miles per hour