The Motorway Problem

[TheBigBadBen]

So this isn't so much a challenge to present as it is a neat thing to watch. Here's a video presenting the problem

Maths Problem: Connect the towns - YouTube

and a very interesting one demonstrating the solution via a perhaps unusual method

Spoiler

Maths Problem: Connect the towns solution (Motorway Problem) - YouTube

I highly recommend giving it some thought before watching for the answer