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

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Answer 1 · 2016-09-12T04:17:47

Unit rate is $60$ miles per hour.

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 · 2016-09-18T09:40:45

60 miles/hour

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

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

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