Heat coals or gas grill for direct heat. Remove chicken from marinade; reserve marinade. Cover and grill chicken, skin sides up, 5 to 6 inches from medium heat 15 minutes. Turn chicken. Cover and grill 10 to 20 minutes longer, turning and brushing 2 or 3 times with marinade, until juice of chicken is no longer pink when centers of thickest pieces are cut. Discard any remaining marinade.