Henry Ernest Dudeney/Modern Puzzles/161 - A Motor-Car Puzzle/Solution

by : $161$

 * A Motor-Car Puzzle
 * A traveller starts in his car from the point $A$ and wishes to go as far as possible while making only $15$ turnings, and never going along the same road twice.
 * The dots represent towns and are one mile apart.


 * Dudeney-Modern-Puzzles-161.png


 * Supposing, for example, that he went straight to $B$, then straight to $C$, then to $D$, $E$, $F$, and $G$,
 * then you will find that he has gone $37$ miles in five turnings.
 * How far can he go in $15$ turnings?

Solution
The roads unused have been rendered as dotted lines:


 * Dudeney-Modern-Puzzles-161-solution.png

Also see

 * $269$ - Sixteen Straight Runs from his collection, which is a similar problem.