Shape ground beef into 6 patties, about 1/2 inch thick.

Season the beef patties with salt and pepper to taste.

Cook the patties in a skillet over medium-high heat until browned on both sides.

Drain off any excess fat from the skillet.

In the same skillet, combine cheddar cheese soup, water, Worcestershire sauce, and prepared mustard.

Heat the sauce mixture to a boil.

Reduce the heat to low, cover the skillet, and cook for 5 minutes, or until the patties are cooked through and the sauce has thickened.

Serve the cooked patties on toasted English muffins with the Welsh rarebit sauce spooned over the top.