A bicylcist cycled from town A to town B and back. He returned into town A in 4 hours.

His speed on the flat part of the road was 16km/h. His speed on the slope (going up) was 12km/h, and his speed on the slope (going down) was 24km/h.

What is the distance between town A and B? (there is no info missing - thats all that it is).

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I think I manged to solve it with some logical thinking but I am still having problems doing it properly (with equations and all). I think the answer is 32km. (I won't explain how I got that because I don't want it to affect on your thinking..)