That would be great! I'll have to change my workout eventually...
Spymonk is right. It's not the speed that you do them, but the efficiency. Perform the entire motion from as close to the ground that you can bring yourself without eating it, to a fully outstretched arm.The girly pushups are just stupid. I'm on the track team too, not cross-country though. I do sprints and long jump. I can do regular pushups pretty quickly (when I first started I couldn't even manage one, though ) but I'm still struggling with the triangle ones. Oooouch.
Performing the full range will be more effective. I always thought that doing push ups very quickly and intense like would increase raw power endurance. If that's what you're looking for, though, then you're probably better off going straight until you fail, or doing sets of claps or box push ups...
That's a good thing to do every once in a while, even for a hardcore endurance guy like me. Every once in a while, instead of doing four sets of a specified number of push ups (25), I'll just do one set until I fail completely, skip a set, then do another set until i fail, then skip the last as well. If that made any sense, that is.
I accidentally broke my boxes today. I could say that I am so strong that my off explosion just broke the box, but instead I'll tell you the truth; I stepped on it while it was on it's side, and one of the sides broke off.