Question

The scale on the map is 1 inch=20 miles. How far apart are two cities in real life that are 3.5 inches apart on the map.

Answer 1

70 miles

Explanation:

Given:

• On the map: 1 inch=20 miles.

,

• The distance between two cities on the map = 3.5 inches

We are required to find the distance between the two cities in real life.

To begin with, let the actual distance between the cities = d.

Thus, we have the equivalent fraction below:

`\frac{\text{Scale Distance}}{\text{Actual Distance}}\colon\frac{1\text{ inch}}{20\text{ miles}}=\frac{3.5\text{ inches}}{d\text{ miles}}`

Cross multiply to solve for d.

`\begin{gathered} d*1=20*3.5 \\ d=70\text{ miles} \end{gathered}`

The two cities are 70 miles apart in real life.