Does seem a bit slow, though I can only judge by my own experience at the Royal Berkshire Hospital in Reading.
I had my biopsy on Monday (2nd June), results on Wednesday (11th June), cancer diagnosed unfortunately. When I was given the results, I was told that I had been booked in for a bone scan on the Friday (13th June) and would have an MRI scan on the Monday (16th June). The scan results were given to me at a meeting with my consultant on Wednesday (25th June) where I was given my full diagnosis. The following day (26th) I started my hormone therapy and am due to start my Radiotherapy next Tuesday (14th October) after just over three months on the hormones (which is a fairly standard procedure).
The Royal Berks does seem to have a fairly good reputation so I don't know how it compares with other hospitals around the country.
It doesn't make it easy when things seem to be moving slowly and you're anxiously waiting for results. This is one of the worst times when you just want to know what the full diagnosis is.
There are standards that hospitals are supposed to work to regarding the time they take from the biopsy stage to final diagnosis but I'm not sure how long that is. I'm sure someone on this site would probably know or just look it up on the internet. Might help in getting things moving. Is it possible to get these scans done at another hospital if your local one is under pressure? Might be worth asking.
Anyway, try to relax, I know it's difficult because you just want to get treatment underway. I know because I felt the same. Truth is, that most PCa's are generally slow growing so an extra few days don't really make much difference.
Thinking of you both.