Question

A 3inch line segment represents a distance of 20 miles on a map that is drawn to scale. What is the actual distance between two cities that 7 1/2 inches apart?

Answer 1

Therefore, the actual distance between the two cities is 50 miles.

Explanation:

Let's denote the actual distance between the cities as D (in miles). We know that a 3-inch line segment on the map represents a distance of 20 miles. Therefore, we can set up the following proportion:

3 inches / 20 miles = (15/2) inches / D miles

To solve for D, we can cross-multiply and then divide:

3 inches * D miles = (15/2) inches * 20 miles

3D = (15/2) * 20

3D = 300/2

3D = 150

D = 150 / 3

D = 50