Bellmore is a hamlet and census-designated place (CDP) in Nassau County, New York, United States. The population according to the 2010 census was 16,218. Bellmore is located on the south shore of Long Island 5 miles from Jones Beach State Park, approximately 27 mi east of Manhattan, and 10 mi east of the Nassau-Queens (New York City) Line.
There is a state park in walking distance of Bellmore.
5 miles is a length that most healthy people can walk. I think the system is confused by vague terms like "walking distance."