Not long,if its good and warm and seeds got damp from a little rain,you should be able to see it sprouting in a week or so.Since you tilled it,you should at least lightly mulch the ground after you are done or rain may wash away seed and dirt.I thought it had to be a deer plot. let us know how this turns out,I was planning on planting a couple of about 1/2 acre plots my self,I was thinking of diskingthe short grass some,putting some lime[not as much as you],and some10-10-10 fertilizer,disking some more,than planting some kind of mix that would have alot of red clover in it,and than lightly disking again,so as maybe not turning the ground to dust so MAYBE I wouldn't have to mulch,we'll see when I do it ,probably not till next spring sometime. RICHARD GAUTHIER