Earlier quoted context omitted.
The Fed can increase its overnight rate to 20% or 200% in one meeting. There is no situation ever where inflation of the sort you're talking about can't be instantly and completely killed. Supply shock inflation (oil embargo) is a different matter.
That's trusting an inherently conservative body to take unprecedented steps. Ultimately, it's trust. As long as the market and economic suppliers believe the Fed might do that, it wouldn't be a problem. Hence why the Fed does most of its important work through telegraphing rather than policy changes
Granted he never hiked above 20% but that was still extremely high.