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 result:

M =  500000

Solution:

a=6 cm→m=6/100 m=0.06 m b=30 km→m=30⋅ 1000 m=30000 m  M=ba=300000.06=500000=5.000000⋅105  M1:500000a=6 \ cm \rightarrow m=6 / 100 \ m=0.06 \ m \ \\ b=30 \ km \rightarrow m=30 \cdot \ 1000 \ m=30000 \ m \ \\ \ \\ M=\dfrac{ b }{ a }=\dfrac{ 30000 }{ 0.06 }=500000=5.000000\cdot 10^{ 5 } \ \\ \ \\ M 1:500000

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