Preheat oven to 400 degrees (F). Lightly grease the inside of a casserole dish. Put the Worstershire sauce in a separate bowl and soak the Boston Butt pork roast in the Worstershire sauce, turning occasionally.
Remove roast from Worstershire sauce and coat with brown sugar, being sure to press the brown sugar all over to form a crust. Place sugar-crusted roast in the casserole.
Pour apple juice into the casserole, but do not pour over the sugar-crusted roast. Cover and place the the roast in the oven. Immediately turn the heat down to 200 degrees (F) and bake in the oven for about 5 hours. Uncover the roast and check to make sure meat is cooked properly. The meat should be so tender it falls apart easily.