Question

A distance of $180km$ between two cities is represented on a map by $6cm$. If the distance between two other towns is represented by $5cm$ on the map, what is the actual distance between them $?$

Answer 1

Let, the actual distance between them is $xkm$ which is represented on the map by $5cm$

Now,$180:x::6:5$

Product of extremes $=$ product of means

$180\times 5=x\times 6$

$$\begin{gathered} \Rightarrow x=\frac{\cancel{180}\times 5}{\cancel{6}} \\ =30\times 5 \\ =150km \end{gathered}$$

Hence, the actual distance between them is$150km$ which is represented on the map by $5cm$.