Originally Posted by Jeff Gordon #24
Whoever starts riding the bike will leave the bike after going ahead 1 mile, drop the bike and walk until the other gets to the bike, and rides the bike past them for a mile, then leaves the bike for the other to ride, and they'll walk again....and so forth.
This is the key. If the last person to get the bike rides past
the person walking then it's logical to assume that he, the one riding the bike, will arrive at the destination sooner.