Question

A map is drawn using the scale 2 cm:100 mi. On the map, Town B is 3.5 centimeters from Town A, and Town C is 2 centimeters past Town B. How many miles apart are Town A and Town C?

Answer 1

`275\ mi`

Explanation:

we know that

The distance on the map from Town A and Town C is equal to

3.5 cm+2 cm=5.5 cm

The scale map is equal to

`(2)/(100)(cm)/(mi)`

Simplify

`(1)/(50)(cm)/(mi)`

That means-----> 1 cm on a map is 50 mi on the actual

so

by proportion

`(1)/(50)(cm)/(mi) =(5.5)/(x)\\ \\x=50*5.5\\ \\x=275\ mi`