I stated back a ways in this thread that brand new players in my FC have done the whole of 2.0~3.0 ready in just under about an average of 2 weeks. I stick by that because i saw them do it while still going to work, dealing with family and friends, and doing everything else adults do on a regular basis.
While i will say doing it in under a week would require more effort, i could see it being done-especially if during the weekend of that week the player binged played the game. The toughest thing, actually the only tough thing about the MQ is just staying focused while the denizens of Eorzea continually mistake you for their personal manservant. If you can keep at it, you can fly through it, ques are only on the long side for a couple of instances.