Question

A map uses a scale of 3/4 in = 80 miles. If two buildings are 60 miles apart in real life, how far apart would they be drawn on the map?

Answer 1

Given:

The scale of a map is $\dfrac{3}{4}\ in=80\ miles$.

The distance between two buildings is 60 miles.

To find:

The distance between the given building on the map.

Solution:

We have,

$\dfrac{3}{4}\ in=80\ miles$

It means, 80 miles in real life = $\dfrac{3}{4}\ in$ on the map.

1 mile in real life = $\dfrac{3}{4\times 80}\ in$ on the map.

60 mile in real life = $\dfrac{3\times 60}{4\times 80}\ in$ on the map.

                              = $\dfrac{180}{320}\ in$ on the map.

                              = $\dfrac{9}{16}\ in$ on the map.

Therefore, the buildings are $\dfrac{9}{16}\ in$ apart on the map.