Saeviomagy
Adventurer
Reach x successes before the same number of failures to succeed in the challenge. Usually 3. Always the same number for each (I know 4E used to say things like "6 successes before 4 failures" but for me it's just "first to 3").
I find the problem here is that you discourage players from taking long shots, or contributing to anything outside their bailiwick, and if nobody is willing to attempt anything, then the hazard... does nothing?
Personally I do this sort of thing much closer to a combat, wherein the PCs advance their cause by successful actions (rolls or otherwise), and the hazard advances it's own cause in some way (flat successes per round, rolling checks, forcing saves, whatever).
Now, is it possible for a PC to advance the hazard's cause? Sure - they could totally misread the situation and do something counterproductive. But they won't advance it just by failing, and meanwhile the hazard is racking up successes on it's own time, so they're encouraged to at least try.