Question

The scale of a map is 2.5ft = 10 miles, what would be the distance on the map if the actual distance between the 2 cities = 80 miles?

Answer 1

Answer:

20 ft

Explanation:

The scale of the map: 2.5ft = 10 miles

This means that 2.5ft represents 10 actual miles.

If the actual distance between two cities is 80 miles, then it follows:

$\frac{\text{Distance on map}}{\text{Actual Distance}}=\frac{2.5ft}{10\text{ miles}}=\frac{x\text{ ft}}{80\text{ miles}}$

We solve for x.

$\begin{gathered} 10x=2.5\times80 \\ x=\frac{2.5\times80}{10} \\ x=20ft \end{gathered}$

The distance on the map will be 20 ft.