To answer these questions one would need to know a couple things. First are you speaking of a normal queenright hive that has more than 10 frames, and second Is the volume of workers in the hive covering the frames that it has?
You see under normal as mentioned situation a worker bee can actually live her whole life in the hive. There is nothing that says she MUST become a forager. Under normal situation though for general talk the worker bees normally end up going out of the hive on an orientation flight after a month of life. Most don't live past 60 days in the warm part of the year, but some live many months during the cold winters. Those bees that live through the winter don't take orientation flights till spring in a lot of cases.