The way i understood, mining is completely different from getting coins from faucets... Mining coins = generating new coins, faucets = watching annoying ads for very small parts of a bitcoin
the only way to mine with faucets would be if they would give free hash power or something like that with which you could mine coins
i'm sure if they did that, the amount of hashing power would be so miniscule so as to be insulting. i think there was a browser-based cpu-mining website but it was either a scam or paid out so little that it appeared to be one.