If you have a DVR, set both games to record. You can pause one, click over, watch for a while, then pause and click back to the other. If you fast forward through commercials and half times, you can almost watch two whole games at the same time. You'll finish about 30 to 45 minutes after the games end, but you can take them both in (this works best if you are willing to fast forward through more of the Georgia/Arkansas game, things like punts, returns, etc).
Or you can just set up two TVs, which is the easiest. I'll probably have two TVs, with Georgia/Arkansas and Texas/Texas Tech on PIP on that TV.