http://time.com/4436498/usain-bolt-has-never-run-a-mile/

I think it'd be an interesting thing to study. When I was young and running a lot, I could beat (recreational) cyclists uphill, but they would smoke me on downhills. So there might be the kernel of a fun study there.

I guess my hypothesis is that, given equally fit bikers and runners, there's an incline where they will climb at equal speeds. Furthermore, at steep inclines, the runners will be faster and at shallower inclines, the bikers will be faster.

Doesn't seem too unlikely (or interesting, actually), given the weight of the bicycle. But the general shape of the curves might be interesting.