I unlock this achievement on Chase game on beginner difficult with 3 laps. Its better you play with Pac-Man in this mode, and choose any Kart. For the track play on Pac-Man Forest, this is found under the Pac-Man cup.
When the race start you will be first, so be as fast as you can and use the maximum of power-ups to gain a large advantage. Another way would be using the Blue Ghosts Power up (if you are lucky) because this power will make the others opponents grab the wrong way. If you get far enough ahead they will also turn around and go the wrong way. Just watch out when they start coming at you head on, if they hit you enough times you will fail. you may also be able to get this will two laps if you go fast enough at the start.