If you haven't ridden at least half of that distance in a row before, there's a good chance you're going to bonk out. It's possible to do, but I wouldn't. That's at least a 1.5h ride each way. I'd drive it, no question.
I'd say closer to 2 hrs minimum, and that would be pushing it, depending on what the 'beater commuter' is.
Takes me 45 minutes to do one third of that. Granted I have tons of stop signs and stop lights, but still.