Rodney,
There is no specific answer, because the variables are so great, e. g., bees
in the
desert area of Arizona or the wooded area of Skyline Drive, VA.
However, normally bees leave the parent hive and go only 100 feet or so to
form a swarm that might stay there 2-3 hours or maybe 2-3 days until it
departs for the new homesite it has selected. That new homesite is usually
less than a mile from the parent colony, but it can be as far as 3 miles away.
I want to impress upon you that this is a very generalized answer.
George Imirie