Per the plan, one's personal movement will be restricted to only places one can drive to in fifteen minutes. So, by mandating people stay within the fifteen-minute range, they can't really go anywhere anyway, which will make having a car unnecessary, yes?
So actually, they (the poor) will be able to save money both by not having a car, and by not having anywhere to go. Yes, I see now how this really will be a big benefit for the poor.
Coincidentally, it should keep the keep the hoi-polloi of the beaches and slopes as well! wink-wink-nudge-nudge