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?

Result

x =  40 cm

Solution:

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

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