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Create a proportion to evaluate the actual distance.
5 715 h
We are given that the scale of a map is 2centimeters: 160miles. Our first step will be to find the actual width of New Mexico. To do this, we will create a proportion.
2/160=distance on map/actual distance
Since we know that the width of New Mexico is 4.1 centimeters on the map, we can substitute this value into the proportion. Let x represent the actual width.
a/b=.a /2./.b /2.
Cross multiply
a * 1=a
Multiply
The actual width of New Mexico is 328 miles. Next, we are asked to evaluate how long it would take to drive across New Mexico if we drove 60 miles per hour. To do this, we will recall the speed formula and solve it for time. Speed=Distance/Time ⇓ Time=Distance/Speed Finally, we will substitute 60 miles per hour for speed and 328 miles for distance. Let t be the time.
Substitute values
a/b=.a /4./.b /4.
Rewrite 82 as 75+7
Write as a sum of fractions
Calculate quotient
Add terms
It would take 5 715 hours to drive across New Mexico.