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Sunday Times Teaser 2678 – Map Snap

by Ian Duff

I have a rectangular map with dimensions 1 metre east-west, 75 centimetres north-south and a scale of 1 centimetre to a kilometre.

I have a smaller map covering the same geographical area that I have turned face down, rotated 90 degrees and placed on the larger map with its north-east corner on the south-west corner of the latter.

A pin that is pushed through both maps a whole number of centimetres from the larger map’s western edge goes through the same geographical point on both maps.

On the smaller map each centimetre represents a whole number of kilometres. How many?

2 Comments Leave one →
  1. brian gladman permalink

  2. ahmet cetinbudaklar permalink

    Taking into account of the following two equations


    and , hence we can get:

    x=(75k-100)/(k^2-1) as a result of which by trial and error we can manage to find the result.

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