Scale of the map

The distance between two cities is actually 30 km and the map is 6 cm. What is the scale of the map?

Correct answer:

M =  500000

Step-by-step explanation:

$$\begin{gathered} a=6\text{ cm}\to \text{ m}=6\mathrm{/}100\text{ m}=0.06\text{ m } \\ b=30\text{ km}\to \text{ m}=30\cdot 1000\text{ m}=30000\text{ m } \\ M={\displaystyle \frac{b}{a}}={\displaystyle \frac{30000}{0.06}}=500000 \\ M1:500000 \end{gathered}$$

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