A group of $5$ typists are able to type $$6000$$ words in $$20$$ minutes. They were tasked to type out $9000$ words. However, $2$ of them fell sick. One of them declared: "We need $45$ minutes to finish this job!"  Is he correct? If not, how long do they need? 
Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value