Sam ran 63,756 feet in 70 minutes. What is Sam's rate in miles per hour?

Sam's rate is ##(10.35 "miles")/(hour")##

Let's break the answer down into three parts:

##color (magenta) ("First,"## we're going to convert feet to miles using this conversion factor: ##color(white)(aaaaaaaaaaaaaaaaa## 1 mile = 5,280 feet

##color (blue) ("Then,"## we're going to convert minutes to hours using the relationship below: ##color(white)(aaaaaaaaaaaaaaaaa## 1 hour = 60 minutes

##color (red) ("Finally,"## we are going to divide the value that we get in miles by the value that we get in hours, since the word "per" means to divide.

##color (magenta) ("Step 1:"##

## 63,756 cancel"feet"xx("1mile"/("5,280"cancel"feet"))## = ##12.075 "miles"##

##color (blue) ("Step 2:"##

##70 cancel"minutes"xx((1"hour")/(60cancel"minutes"))## ## = 1.1667 "hours"##

##color (red) ("Step 3:"##

##(12.075 "miles")/(1.167 "hours")## ##= (10.35 "miles")/(hour")##