Open the door in front of you for a cutscene. When you wake up, head downstairs for another cutscene. Go outside and go up the big set of stairs on the right, then left into the bar. In the bar, you'll have a cutscene. Veronica and Serena will join your party officially now, so you may want to change some of their equipment. You'll also want to go into the character builder menu; they each have 12 skill points to spend. Leave Hotto for another cutscene.
In the Hotto Steppe, you'll need to go West, then South to Gallopolis Region. Here, you'll want to go to the Sultanate of Gallopolis. When you enter, there will be a cutscene. Go right up to the castle and go up the stairs for a cutscene. Afterwards, go down and to the left to the prince's bedchamber. Talk to the prince, then leave. You need it to be evening for the next part. If it is not evening, go to the inn, and sleep until night. At Night, Prince Faris will be outside the tent with a pink dot over his head. Go talk to him for a cutscene.
After you wake up, go to the pink dot in the West of the map. Open the door here and talk to the prince. Leave and get on the horse. Go out and to the left to start a cutscene. Your performance in the race doesn't matter. Hold
to turn, and try to go through the green swirls, so you can keep dashing. When the race is over, there will be another cutscene. The achievement will unlock at the end of this cutscene.