http://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1000960Most distance runners carry enough muscle and liver glycogen for about 22mi of running at marathon pace or 30mi at an easy pace.
How quickly you burn through your glycogen depends on how fast you are running.
The caloric cost of running in terms of calories per mile is, to a first-order approximation, flat. That is, running one mile in 5min burns no more or less calories than running one mile in 10 minutes. The difference, of course, is that the five minute mile takes half as much time.
However, where these calories come from is not the same. Again, to a first order approximation, your percentage of VO2 max is equal to the proportion of your calories that come from carbohydrates. The rest is fat. So when you run 5k pace (~98-100% VO2 max) you get ~95-100% of your calories from carbohydrates. When you jog very slowly, more than half your calories can come from fat.
Whatever source you read that info you posted from is wrong. It's not a time-based thing, it's an intensity-based thing. If you were burning 100% glyocgen for fuel, you'd run out of energy after 13-19mi. But nobody can run at 100% VO2 max for that far so it doesn't matter. In a marathon, at ~80-85% VO2 max, the typical runner will "hit the wall" around 21-23mi without any external carbohydrate ingestion. At easy to moderate run pace (55-70% VO2 max) you can last much longer.
Coincidentally this is why long easy runs aren't as useful as you think in marathon training. If you do a 22mi easy run and think you "bonked" at 20mi, in reality you probably just got muscularly fatigued. You didn't run far enough to deplete glycogen stores. There is some fatiguing effect once your stores start to dwindle (below a "tank level" of ~30%) probably due to centrally mediated anticipatory fatigue but you won't really crash until you run out.
These models also assume you have a distance runner build with ~20% of your body mass in your legs. If you are a big hulking upper-body lifter with tiny legs, or if you have a big beer belly, you will run out of glycogen faster. If you are a Kenyan with tiny calves, a plucked-chicken-like upper body, and gigantic thighs, you'll last longer.