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Quick Answer. It takes 9 to 10 hours to cook a 3-pound beef top round roast in a Crock-Pot at the low setting. The roast only requires about 5 hours of cooking time at the high setting, but this tough cut of meat isn't recommended for cooking on the high setting. The faster cook time and higher temperature doesn't break down the tough meat fibers and leaves the roast tough.
While you still place the roast in a roasting pan on a center rack, heat the oven to 200 F, and add 1-cup of liquid to the bottom of the pan. Cook the meat uncovered for 35 minutes per pound for a 3- to 5-pound roast and 40 to 45 minutes per pound for a 2-pound roast.