Given:
Total cites are [tex]1\dfrac{1}{2}[/tex] inches apart on the map.
Scale of the map is [tex]\dfrac{1}{2}\text{ inch }=40\text{ miles}[/tex]
To find:
The actual distance between two cities.
Solution:
Distance between two cities on map = [tex]1\dfrac{1}{2}[/tex] inches
= [tex]\dfrac{1(2)+1}{2}[/tex] inches
= [tex]\dfrac{3}{2}[/tex] inches
We have,
[tex]\dfrac{1}{2}\text{ inch }=40\text{ miles}[/tex]
Multiply both sides by 3.
[tex]\dfrac{3}{2}\text{ inch }=3\times 40\text{ miles}[/tex]
[tex]\dfrac{3}{2}\text{ inch }=120\text{ miles}[/tex]
So, the actual distance between two cities is 120 miles.
Therefore, the correct option is D.
