Question

What is the unit rate of 180 miles in 3 hours?

Answer 1

Hint: We know that unit word always refers to one or per. That is quantity related to 1. Here we are given a unit of speed miles per hour. But it is given for 3 hours. So we need to find it for 1 hour or we can say per hour. So let’s start.

Complete step-by-step solution:
Given is 180 miles in 3 hours.
We know that unit rate is written as x miles per hour or we can say x miles in one hour. So in order to find the unit rate for the above rate we can express the data in fraction form as,
\[\dfrac{{180miles}}{{3hours}}\]
Now to make the denominator 1 and not to change the given ratio we will divide both the numerator and denominator by 3.
\[ = \dfrac{{180miles \div 3}}{{3hours \div 3}}\]
On dividing we get,
\[ = \dfrac{{60miles}}{{1hour}}\]
Thus we get 1 in denominator or this is the only unit rate.
Thus our answer is 60 miles per hour.

Note: Note that we have all types of units in unit rate. Here unit means the measuring category and unit also means one or per. So don’t get confused. Miles/hr is the measuring unit used to measure the speed of a vehicle. This gives the distance (in miles )covered in one hour.