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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.
When you know how to cook a bottom round roast, however, you know the secret to overcoming those problems. The secret to a tender roast is to cook it at a low temperature for a longer period of time. 1  Prep time: 15-20 minutes. 2  Cook time: 3-7 hours.