Question

A map of a highway has a scale of 2 inches =45 miles. The length of the highway on the map is 6 inches. There are 11 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

each rest stop is 0.45 inches apart on the new map.

Explanation:

First, we need to figure out how long is the highway. since 6/2 = 3, we know that the length of the highway is equal to 45*3. 45*3 = 135.

Now since the beginning stop doesn't count(it's at the 0 miles point and normal dividing would not count 0), so we know that there is 10 stops.

Since on the new map there was 30 miles in a inch, 135 miles on the new map would equal to 4.5 inches(135 = 120+15 = 4*30+0.5*30). 4.5/10 = 0.45 inches. So basically the rest stops are 0.45 inches apart.