Question

On a scale of map $1.5cm$ represents $24km$. If the distance between two points on the map is $76.5cm$, then the actual distance between these points is.

• A. $1071km$
• B. $1224km$
• C. $1377km$
• D. None of these

Answer 1

The correct option is B $1224km$

Let the actual distance be $xkm.$

$\Rightarrow$ More distance on the map, more is actual distance ( Direct proportion )

$\therefore$ $1.5:76.5::24:x$

$\therefore$ $\frac{1.5}{76.5}=\frac{24}{x}$

$\therefore$ $x=\frac{24\times 76.5}{1.5}$

$\therefore$ $x=1224km$