They usually finish their part relatively quickly; you may not find out about it though as they won't send official notice until VA ratings are complete (if unfit). Mine only took a few days. Maybe after a week give your PEBLO a call and they can look it up.
If your information has been sent to the IPEB for your initial ratings, I've heard it could anywhere from two weeks to two months. Unfortunately the timeline is always in flux and can't always be predicted.