Batman is always shown (from my perspective) to be more 'intelligent' or perhaps more cunning than Superman and therefore more streetwise than Superman. I Find DC uses Batman as a way to show that Superman isn't all that wise but in many cases is quite naive to the intentions of people.
I still find it odd that he has superhuman physical powers and yet a 'normal' human brain. It must have been a safety measure given by his biological father.
I agree with JB, Batman has the edge intelligence wise but I think more than just intelligence Batman is wiser. I think Superman has a certain amount of naivety due to his upbringing that keeps him aloof of what's really happening around him.