Question

On a map, two cities are 2.8 inches apart. The map has a scale of 1 inch to 25 miles. How far apart, in inches, would the same two citites on a map that has a scale oof 1 inch to 40 miles

Answer 1

The distance on the map where the scale is 1 inch to 40 miles is 1.75 inches.

How far will be the two cities on the other map?

First we know that the cities are at 2.8 inches apart on a map whose scale is 1 inch to 25 miles, then the real distance between the two cities is:

`D = (2.8)*25\text{mi}= 70 \ \text{mi}`

Now we move to a map where each inch is 40 miles, to find the distance in inches, we can take the quotient between the real distance and the scale, it gives:

`D = (\frac{70\text{mi}}{40\text{mi}} ) \ \text{inches}`

`D = 1.75 \ \text{inches}`

The distance on the other map is 1.75 inches.