Question

What is the rate and unit rate of 420 miles in 7 hours?

Answer 1

Unit rate is `60` miles per hour.

Explanation:

As in `7` hours, distance covered is `420` mile

in `1` day distance covered is `420/7`

= `(6xx7xx10)/7=(6xxcancel7xx10)/1cancel7=6xx10=60`

Hence, unit rate is `60` miles per hour.

Answer 2

60 miles/hour

The unit is 1 hour so the unit rate is 60miles per hour

Explanation:

`color(brown)("Speed (velocity) is measured in Miles per hour.")`

This means that we have the count of miles traveled in 1 hour.
In mathematical terms it is written as:

`" "("miles")/("hour") ->("distance")/("time")`
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let the count of miles traveled in 1 hour be `x`

`color(magenta)("Treat as a ratio in that:")`

`=>("distance")/("time") ->420/7 -=("miles traveled")/1`

`color(white)(.)`

`" "("miles traveled")/1=(420-:7)/(7-:7)`

`color(white)(.)`

`" "("miles traveled")/1= 60/1color(white)(..)("miles")/("hours")->` miles/hour

The unit is 1 hour so the unit rate is 60miles