The cooking time for boiling chicken breast with bone depends on the size and thickness of the chicken breast. As a general rule, it takes approximately 30-45 minutes to cook a chicken breast with bone in boiling water. However, to ensure the chicken is fully cooked and safe to eat, it's essential to check the internal temperature of the meat using a meat thermometer. The internal temperature should reach 165°F (74°C) to ensure it's fully cooked. It's always best to use a meat thermometer to ensure that the chicken is cooked to the proper temperature and avoid any risk of foodborne illness.