Question

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

Answer 1

Case 1:

In scale, length of the road map $\left(x_1\right)=1cm$

Actual distance $\left(y_1\right)=18km$

Case 2:

Let, In scale, length of the road map $\left(x_2\right)=?$

Actual distance $\left(y_2\right)=72km$

Since, if length of the road map will increase then corresponding actual distance will be also increase.

Hence, it is in direct proportion.

$\Rightarrow \frac{x_1}{y_1}=\frac{x_2}{y_2}$

$\Rightarrow \frac{1cm}{18km}=\frac{x_2}{72km}$

$\Rightarrow \frac{1cm}{18}\times 72=x_2$

$\Rightarrow x_2=4cm$