Well I officially "applied" to Eagle over a year ago with only about 500/40 hours and of course got a prompt "do not meet minimums" email.
Then this summer I was around 1200/100 hours and updated my application. This was middle of June. About a week later I got a call for an interview middle July. Given the "pre-offer" at the interview and on that friday (4 days later) I was given a conditional offer and a class date for 2 weeks later.
From "meeting minimums" to class start was about a month and a half.
Now ExpressJet was a little bit different. I got called the following morning asking me for an interview. I went to the interview, was told that went well but had to wait almost 2 months before I heard anything back. I had already started training at Eagle and would not have started class until just now... and I have my checkride with eagle tomorrow.
So that gives you an idea with my experience with Eagle and ASA/XJT.