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Question

In a map 14 cm represents 25 km. If two cities are 212 cm apart on the map, what is the actual distance between them?

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Solution

Firstly, 212=(2×2)+12=52 cm

In a map 14 cm represents 25 km
We need to find how much does 52 represent.
Let the distance to be found out be x
14:52::25:x

1452=25x
On simplifying,
1×24×5=25x

12×5=25x


110=25x
On cross multiplying,
x=10×25
x=250 km

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