my apologies if this has been asked before, and I am in no way trying to disrespect this episode as it's very good. My question is why after Dr. McCoy directly stating that they have mere hours or maybe a day left to live, did they waste time with a competency hearing instead of just leaving general bridge operations to Sulu or whatever and working around the clock to find a cure? That one or two hours it could have taken (in their world the hearing was probably a lot longer than the 10 minutes of TV time for us) could have been fatal for all the away team members.