I heard from Eagle within two or three days after submitting my App. It took about a month from the time I got the offer to interview before I actually went in to interview though. Eagle will give you a pre-offer in the interview if they want you for the job. Once you mess up any single part of the interview they'll just kick you out and won't let you continue, so you know if you don't get the job pretty quick.
I submitted an application to ExpressJet at the same time as eagle with 1100/130 and never got any response from them at all. It's been about two months now.
My room mate got a job at Skywest. It took him about a month from submitting the application to getting an interview. They told him about a week later that he got the job. His class date wasn't until two months later though for some reason.