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:

$a=16 \ km \rightarrow m=16 \cdot \ 1000 \ m=16000 \ m \ \\ M=40000 \ \\ x_{1}=a/M=16000/40000=\dfrac{ 2 }{ 5 }=0.4 \ \text{m} \ \\ \ \\ x=x_{1} \rightarrow cm=x_{1} \cdot \ 100 \ cm=0.4 \cdot \ 100 \ cm=40 \ cm=40 \ \text{cm}$

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