[ruthless]

Are you manually plucking the weeds out? or using a chemical to kill them
If picking them out I suggest you use a chemical such as weed be gone to kill them, it's much more effective than picking them out one by one, and you don't get to the root so it grows back.

Also if your driveway is little pavers you can lift them up and lay down a fabric mesh that doesn't allow weeds through