Yup. And it's not just Route 9; all the moving Bikers in the game do this as well.
Firstly, to clear this up, this is not a glitch, in case anyone thought so. Game Freak actually intended to do this, but why, we don't know. They probably just did this to liven up the place or make it more interesting, or simply because that is how they wanted it.
Knowing bikers, they like to keep up to pace, so you running might inspire them to move faster. Interestingly, they are at walking speed when you use the Bicycle.