Question

On a map, $1$ inch represents $150$ km. What is the actual distance between the two cities, if they are $4\frac{1}{2}$ inches apart?

• A. $225$
• B. $300$
• C. $525$
• D. $675$

Answer 1

Answer: (D)

$675$

The principle is that the ratio of actual distance to the distance on the map should be always constant.
The actual distance increases with the increase in the distance on the map.
Let x be the actual distance between the cities.
Applying the principle, we get,
$\frac{1}{150}=\frac{4\frac{1}{2}}{x}$
$\therefore x=4.5\times 150=675$.