Question

What's 42 miles per hour in inches per minute?

Answer 1

See a solution process below:

Explanation:

First, let's convert hours to minutes in this problem.

There are 60 minutes per hour so we can write;

`(42"mi")/"hr" xx (1"hr")/(60"min") =>`

`(42"mi")/color(red)(cancel(color(black)("hr"))) xx (1color(red)(cancel(color(black)("hr"))))/(60"min") =>`

`(42"mi")/(60"min")`

Next, we can convert miles to inches. We know:

• There are 5280 feet per mile
• There are 12 inches per feet

So, we can write:

`(42"mi")/(60"min") xx (5280"ft")/"mi" xx (12"in")/"ft" =>`

`(42color(red)(cancel(color(black)("mi"))))/(60"min") xx (5280color(blue)(cancel(color(black)("ft"))))/color(red)(cancel(color(black)("mi"))) xx (12"in")/color(blue)(cancel(color(black)("ft"))) =>`

`42/(60"min") xx 5280 xx 12"in" =>`

`(2661120"in")/(60"min") =>`

`(44352"in")/"min"`