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

Answer:

$275\ mi$

Step-by-step 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

$\frac{2}{100}\frac{cm}{mi}$

Simplify

$\frac{1}{50}\frac{cm}{mi}$

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

so

by proportion

$\frac{1}{50}\frac{cm}{mi} =\frac{5.5}{x}\\ \\x=50*5.5\\ \\x=275\ mi$