The fed has the power to act quickly. They raised rates a little on almost a monthly basis last year. Each was a little experiment. If they raised them too much, they could reduce them the next month. If they raised them too little to fully counter inflation, they could continue raising them.
Finally, the issue isn't getting "money" out of the system - it's getting purchasing power out of the system - reducing demand. And most people are buying 5-20% of houses, banks are buying the rest. Most large businesses aren't paying cash reserves to pay employees, they're using debt to pay those salaries.