If all machines "reset" after 10 minutes, then I would imagine you must need some pretty damn fast processing to have a shot of winning any coin, correct?
An essential thing to realize is that a miner is not "making progress" towards solving a block. Each hash-computation is like entering into a lottery, you win (low chance) or lose (high chance). You're not building up towards finding a block. Obviously, the faster your hardware, the more chances you have at winning, but someone with slower hardware will also be able to compete, just with less frequent wins.