This sounds more like an alternator question since you just bought a new battery.
A good flaps (friendly local auto parts) should be able to test the alternator and/or sell you a reman. You wouldn't have to go buy an overpriced dealer item and get similarly overcharged for its replacement.
Or is it that you need such services? (Meaning the labor, not the overcharge for the alternator.) If you are up to it, there's at least one good how-to posted up with photos, I believe. You'd need a few tools and a couple of hours. It really isn't horrible.
Also, sometimes you can repair the alternator with just a new voltage regulator. Do some searching on here as there's lots of information, some of it is even really good advice.
Cheers,
PH
PS: Oh, and in answer to your original question, I don't know. But with a really good fully charged battery, no lights (including no DRLs), no ventilation, no radio, nor anything else that will cause more electrons to escape the battery than have to to run the computer, it should get you by for an hour, maybe more. I don't know as I've never had to try it for more than a few miles.