Last time I sold to them, which was probably about a year ago, I received a call from the buyer first. Once I accepted the offer, which was pretty much in line with the initial quote, I received a payment in mail about a week later.
I was told, speed depends on what they have on queue at the time. Someone will have to inspect your goods first, then the buyer will have to make you a formal offer first. Then a payment is made to you.