Question

On a particular road map, $\frac{1}{2}$ inch represents $18$ miles. About how many miles apart are $2$ towns that are $2\frac{1}{2}$ inches apart on this map?

• A. $18$
• B. $22\frac{1}{2}$
• C. $36$
• D. $45$
• E. $90$

Answer 1

The correct option is E $90$

Let the number of miles be $x$

Since $0.5$ inch represents 18 miles and to find the number of miles apart when the towns are $2.5$ inches apart.

Set up a proportion as shown below:

$\frac{0.5}{18}=\frac{2.5}{x}$

$\Rightarrow 0.5x=45$

$\Rightarrow x=90$.

Therefore $2$ towns that are $2.5$ inches apart are $90$ miles apart.

Hence, option E is correct.