Question

# On a scale of map $$1.5 \,cm$$ represents $$24\, km$$. If the distance between two points on the map is $$76.5\, cm$$, then the actual distance between these points is.

A
1071km
B
1224km
C
1377km
D
None of these

Solution

## The correct option is B $$1224\, km$$Let the actual distance be $$x\,km.$$$$\Rightarrow$$  More distance on the map, more is actual distance ( Direct proportion )$$\therefore$$  $$1.5 : 76.5 :: 24 : x$$$$\therefore$$  $$\dfrac{1.5}{76.5}=\dfrac{24}{x}$$$$\therefore$$  $$x=\dfrac{24\times 76.5}{1.5}$$$$\therefore$$  $$x=1224\,km$$Mathematics

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