We go WAY faster in game than they do in the Star Trek universe.
I haven't done the full math, but consider Star Trek Voyager:
They had (give or take) 70,000 LY to travel, and it was going to take them around 70 years. This means they could roughly go 1,000 LY in 1 year. Considering that jumping from star to star in hyperspace we can travel that distance in a matter of minutes in ED, I'd say that Cmdr Cody's comparison is probably fairly close actually.
Correct me if I'm wrong but this has always been my interpretation.