Question

If a teacher has a map on her wall with a scale of $1$ inch $:100$ miles. She cloned that map on paper to its one-fourth size and handed the copies to students. Now on student's map, the distance between two cities is $2.5$ inches. How many actual miles apart are those cities?

Answer 1

Since the map has been cloned to 1/4th size of the original map.

The new scale will be $\frac{1}{4}$ inch $:100$ miles or $0.25$ inch $:100$ miles.

Therefore, if $0.25$ inch $\to 100$ miles then $2.5$ inch $=\frac{100}{0.25}\times 2.5=1000$miles.