If there are three cars on either side, the fastest way to get all six cars crossed is to allow all of the cars on one side to go, and then all of the cars on the other side to go. There's some increased latency on the side that goes second, but 4 of the 6 cars end up crossing sooner (1 is the same either way, and 1 is slower) than they would with what actually happens.
One car goes on one side. Then one car goes on the other side. They continue to alternate. It's so slow that what was once six cars quickly becomes twenty. But if you "sneak" in behind the car in front of you, you see unhappy faces and the occasional middle finger!