Depending on the rock it could be a few days to maybe 3 weeks tops, at least thats what i think.
When I first cycled my tank last year I had alot of live rock adn dosed ammonia to over 8ppm!! (by accident of course) and within a week the ammonia was gone, had nitrites, lost nitrites then the nitrates built up. I may have been lucky but I would think you should have similar results if the rock came from an established tank like mine did.
How much base/live rock did you go with?
And I agree, some more pictures would be awesome, especially of the sump setup you have so far.