Chess will certainly keep your brain sharp, so you are faster at solving academics. You'll still have to study and learn, but you'll be 2 steps ahead of those who just watch TV in their off time.
People who swim every day will likely run their first mile faster than those who sit on a couch all day.
Do you think there is a correlation between academic success and chess or academic inclined people are more likely to play chess instead of a jock.