Question

A map of a highway has a scale of 2 inches = 39 miles. The length of the highway on the map is 9 inches. There are 7 rest stops equally spaced on the
highway, including one at each end. You are making a new map with a scale of 1 inch = 30 miles. How far apart are the rest stops on the new map?

Answer 1

Scale : 2 inches = 39 miles

The length of the highway on the map is 9 inches -> the real length of it = 39 x 9 : 2 = 175.5 (miles)

There are 7 rest stops equally spaced => There are 7-1 = 6 equal distance between the rest stops

So, every rest stop is 175.5 : 6 = 29.25 miles apart from each other.

With a scale of 1 inch = 30 miles, each rest stop will be 29.25 : 30 = 0.975 inches apart from each other on the new map.