Why is it that people are sometimes stronger than other times?

I remember that I once had a Darius on my team, who was able to go in 1v5 and survive like that for half a minute or so, and he wasn't even too fed (and the rest of our team, including me, was behind) - but when I play him, that never happened. I have played jinx a bounch of times, but no matter how many times and how fed I get, I feel useless. Though sometimes when I fight her, she is this god on earth acing us in a matter of seconds. Today I was that Darius, I wasn't too fed, our team didn't have THAT much of a lead - yet I could do all sorts of crazy things and managed to carry a 4v5. I don't get it, how does this even work?
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