What does this even mean? If everyone worked away from the city, there would be no city to drive to. And of course the people in the city, or on the outskirts of the city, don't need to drive—they can take public transit anyway, or bike, or walk, or whatever.

More people living outside the city and driving into it is how the roads get congested, not how they get clear. If they only go into it sometimes rather than all at the same time the roads might be less congested at rush hour, but on the other hand, unless they're all setting up in another, similarly dense city, you're just creating sprawl, and the roads between the little towns and suburbs are probably going to be pretty crowded as people go between them to run errands, meet friends, dine, etc., since by hypothesis everyone's all spread out, and therefore so are all the conveniences, shops, entertainments, etc.