Instructions
Purchase a new sports car if you don't already have one. By this point in the game, you've unlocked many of the game's sports cars, and even though Driver X does not use one, you may still use a souped-up hot rod. Sports cars are almost always faster and have better traction than any of the normal cars in the games.
Tune your car to HIN Elite Standards. This standard automatically tunes your car to a preset that maximizes acceleration and top speed, both of which are necessary factors in winning races on the track against Driver X.
Use nitrous as you are coming out of turns. This will allow you to maximize your average speed and keep your car moving as quickly and efficiently as possible.