Question

Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the map? [2 Marks]

Answer 1

Let distance covered in the map be x
$\begin{array}{ccc}Actualdistance\left(inkm\right)& 18& 72\\ Distancecoveredinmap\left(incm\right)& 1& x\end{array}$
[0.5 Mark]

Here actual distance and distance covered in the map are in direct proportion.
$\therefore \frac{18}{1}=\frac{72}{x}$
[0.5 Mark]

$\Rightarrow x\times 18=72\times 1\Rightarrow x=\frac{72\times 1}{18}$
Hence, the distance covered in the map is 4 cm.
[1 Mark]