The Driving Dungeon only uses its handbrake for a certain amount of time so that you can defeat the ten monsters in it. You need at least a level of 10 to be able to enter it.
Monsters
When you enter this dungeon for the first time if it is active in town, your current level is used as the basis for the difficulty of the ten monsters. Each monster has a class (warrior, scout or mage) and an element (fire, cold or lightning).
Rewards
As a reward for defeating monsters, you receive XP. The amount is calculated similar to regular dungeons. Sometimes a defeated monster also drops an epic.