The Empire Strikes Back question

I was talking with a friend of mine who is also a secret Star Wars nerd and he brought up an interesting question: exactly how much time passes in Empire Strikes Back?

After the escape from Hoth, the Millennium Falcon winds up in Cloud City (after a stop in the asteroid field). There's no definite time markers but it doesn't seem like they're on Bespin for all that long. 

The thing is, at the same time, Luke is being trained by Yoda. So either the Falcon gang was on Bespin a lot longer than we thought or Yoda is giving Luke the Learning Annex version of Jedi training, packing a decade's worth of wisdom into a, what? Two week seminar?

Of course, the wild card in all of this is that the Falcon's hyperdrive is broken so for all we know it took them months to get from the asteroid field to Bespin. They don't seem like people who have been stuck playing space chess in a junky space ship for weeks on end when they arrive but it would at least allow more time to pass on the Yoda/Luke end of things. 

Any alternate theories?