Question

A map has a scale of inches LaTeX: \frac{1}{2}1 2= LaTeX: 1010 miles. The distance between two cities is 50 inches. What is the distance between these cities on the map?

Answer 1

Distance between the cities on the map = 101, 000 miles

Explanations

According to the question :

`\begin{gathered} (1)/(2)\text{inches = 1010 miles} \\ \text{That is,} \\ 0.5\text{ inches = 1010 miles} \end{gathered}`

Therefore, 1 inch = 2020 miles.

This means that 1 inch represents 2020 miles

The distance between the two cities = 50 inches

Since 1 inch = 2020 miles

50 inches will represent (50 x 2020) miles = 101,000 miles

The distance between the two cities on the map = 101, 000 miles