Open RANKS from the home screen. The weekly boards are BEST RUN (your longest run this week), FARES, LOADING and ROUTES, plus all-time Fleet Power.
Each board starts on the players near you, with the top three. Every Monday the weekly boards start again, and the first time you open the game you're paid by last week's rank: the top 1%, top 10%, top half, or a little just for taking part.
Scores need the internet to reach the boards. Anything you earn offline is kept and sent when you're back online.