Broadly speaking, Intelligence is the ability to reason through things, as well as some memory, learning speed, etc.

Wisdom is pattern recognition based on experience and a deep understanding.

The guy with the engine? He may not ever do calculus. But he's seen enough engines, and deeply groks how the parts work together that when he sees or hears a problem, he immediately goes through all of the things leading to that and can probably guess the root cause in about a half second.