Two villages

On the map with a scale of 1:40000 are drawn two villages actually 16 km away. What is their distance on the map?

Correct result:

x =  40 cm

Solution:

$$\begin{gathered} a=16\text{ km}\to \text{ m}=16\cdot 1000\text{ m}=16000\text{ m } \\ M=40000 \\ {x}_1=a\mathrm{/}M=16000\mathrm{/}40000={\displaystyle \frac{2}{5}}=0.4\text{ m } \\ x=x_1\to \text{ cm}=x_1\cdot 100\text{ cm}=0.4\cdot 100\text{ cm}=40\text{ cm} \end{gathered}$$

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