Question

Please help !!! can someone explain?

Answer 1

Given:

Total cites are $1\dfrac{1}{2}$ inches apart on the map.

Scale of the map is $\dfrac{1}{2}\text{ inch }=40\text{ miles}$

To find:

The actual distance between two cities.

Solution:

Distance between two cities on map = $1\dfrac{1}{2}$ inches

                                                              = $\dfrac{1(2)+1}{2}$ inches

                                                              = $\dfrac{3}{2}$ inches

We have,

$\dfrac{1}{2}\text{ inch }=40\text{ miles}$

Multiply both sides by 3.

$\dfrac{3}{2}\text{ inch }=3\times 40\text{ miles}$

$\dfrac{3}{2}\text{ inch }=120\text{ miles}$

So, the actual distance between two cities is 120 miles.

Therefore, the correct option is D.