It varied. The initial eval took about 4 weeks. The advisors, in my case, would process the evals quicker after some pleasant nudging on my part. Especially, subsequent evals (new credit, etc.). Those usually occured in a matter of DAYS. EC was quite good about thier evals. I know they publish a 6 to 8 week turnaround time. NONE of my many evals took that long.
I remember the first and evaluations taking a few weeks each, but the progess updates came much along much faster. They updated my status online before sending the paper version in the mail.