Most of I-10 is signed for 70 MPH, which generally translates to traffic doing about 75-80 these days. Take a modern car, and most folks could do that trip with a single refueling stop (heck, my Eldorado would only require two stops), which could probably be achieved in about ten minutes. The question of food/bathroom stops is a trickier one...I can see a case for just hitting a drive thru when you stop for gas, so the question of the bathroom is the remaining one. Let's say a 15-minute food-gas stop and two five-minute bathroom stops. Manage an average of 72 MPH by mostly running with a traffic flow at 75-80 and that's doable. It might be a bit of a stretch but it is hardly implausible.