Re: Week Old Splits
Short answer is until all the bees die. You didn't mention if the brood frames contained any eggs or day old larva. You have to have these for them to make the new queen. On a walk away split, check back after a week to see if there is an emergency queen cell or two or three. If so, leave it alone for four weeks before checking for eggs. If not, give them another frame of eggs and wait another week. You should be able to do this several times, after that you will need to add more nurse bees. My nuc made queen cells on the second try.
Thankfully, the bees are smarter than I am. They are doing well, in spite of my efforts to help them.