You can do this on your own with another controller, as it doesn't have to finish the race.
From the main menu go to Quick Modes, then Split Screen. Select the motorcycle and track you prefer and then set the laps to one, if it's not set like that by default. Complete the race with your gamertag, you can wait out the countdown without touching your second controller at all.
The achievement pops once you're back at the main menu.