In nucleophilic aromatic substitutions, the rate-determining step is the addition of the nucleophile to the aryl system, breaking the aromaticity in the process. Since the addition puts a full negative charge into the ring, any electronegative substituent (preferably ortho/para, obviously) will help stabilize the anionic intermediate.
Fluorine, now, is very electronegative, and will strongly accelerate the rate of addition. The next step is the expulsion of the leaving group, which is much faster than the addition of the nucleophile, even though fluoride doesn't really like to be kicked out.
So, you speed up the slow step and slow down the fast step by using fluoride, but since the rate of the reaction is determined only by the slow step, the reaction as a whole goes faster.