Henry Ernest Dudeney/Modern Puzzles/165 - The Despatch-Rider in Flanders/Solution

by : $165$

 * The Despatch-Rider in Flanders

Solution
The rider needs to ride across the sand to a point on the turf / sand boundary exactly $1$ mile from the western boundary of the map, then straight across the turf to $B$.

Proof
Let $G$ be the point on the turf / sand boundary to which he must aim.

Let $x$ be the distance from that point to the western boundary of the map $E$.


 * Dudeney-Modern-Puzzles-165-solution.png

Hence we have a solution $x = 1$ which works adequately.