From Westwood, the drive should take no more than 20-25 minutes even in the worst of traffic.
Check-in lines will be short, and the security queue usually is no more than 10 people long, even at the worst of peak times.
If you're renting a car, the car rental companies are just on the edge of the airport property, and the shuttle can take upto 10 minutes to get to the terminal.
The good thing is that UA is in the first terminal, and the first drop-off point for the car rental shuttles.