The question What is a “space elevator”? describes two key points about the length of a space elevator: equatorial geosynchronous orbit at 22,245 miles (35,800 km) above mean sea level, and an additional 22,245 miles for counter balance.
The question Benefit of sling shot effect with a space elevator talks about launching from the far/upper end of the elevator.
Space elevators are not uncommon in science fiction. In a story I was just reading, travel time to the launch point was greater then a week; that seems overly slow. For the two main points, what would impact travel time from Earth and what would be reasonable travel times to expect?
- Stop at Geosynchronous orbit
- Release/Launch point (not sure if you would need to stop here, or just keep going)