You don't need to worry too much about the tuning of the vehicle, but go to the Festival Drag Strip, select Vs. Rivals (the 4th box), there will be 3 courses that are exactly the same, so select the first - the suggested Rival will do as it's someone who will be close to a Drag Strip run
Do the first run and it doesn't matter if you beat them or not, but it will post a Vs. time to the leaderboard - go back to the Drag Strip event, select Vs. Rivals again and press
to change Rival, and press
to change the filter to "Near me" - the cursor should be on your time, so just scroll down to someone slower than you
Now just re-run the race, you should beat them, and get the Achievement!