I guess it depends on the job. My hubby sent in his resume through disneycareers.com and within 10 minutes, a Disney Recruiter called him and they arranged an interview. With in two weeks he had gone through all the interviews and was offered a position.
I also know people who have gone to the job fairs and went through the process right there and were offered a job that day..usually attractions.
My daughter went down to apply about three weeks ago and they are not hiring at this time and there is a waiting list. They told her to apply on line and start the process to be put on the waiting list. She has had to wait to put in for an interview because she has been summoned for jury duty which can be one day and then that's it or many days if she gets put on a panel.