Question

The scale of a map is 0.5 inch : 20 miles. on the map, the distance between two cities is 1.5 inches. what is that actual distance between the two cities?

Answer 1

0.5 inch : 20 miles
1.5 inch-?
1.5*20/0.5=60 (miles)
answer:60 miles

Answer 2

60 miles.

Explanation:

We have been given that the scale map is 0.5 inch : 20 miles. On the map, the distance between two cities is 1.5 inches. We are asked to find the actual distance between the two cities.

We will use proportions to solve for the actual distance between both cities as:

`\frac{\text{Actual distance}}{\text{Map distance}}=\frac{20\text{ miles}}{\text{0.5 inch}}`

`\frac{\text{Actual distance}}{\text{1.5 inches}}=\frac{20\text{ miles}}{\text{0.5 inch}}`

`\frac{\text{Actual distance}}{\text{1.5 inches}}*\text{1.5 inches}=\frac{20\text{ miles}}{\text{0.5 inch}}*\text{1.5 inches}`

`\text{Actual distance}=20\text{ miles}*3`

`\text{Actual distance}=60\text{ miles}`

Therefore, the actual distance between both cities is 60 miles.