A Limmited Slip Differential Question

This question isn't about my Duster, it has to do with my 1998 Dodge Ram 2500. As I've always understood it, with one of these differentials the power is supposed to transfer to the wheel with better traction. My question is, how quickly should that happen? My driveway is fairly steep. At the top by the garage there's room for two vehicles side by side, but the actual driveway is only about one and a half full size cars wide. Several times now when coming up the driveway my truck has become...

A Limmited Slip Differential Question
Author: Tanker