A few weeks, generally. Some may resume sooner, some might skip the rest of the year if it's close enough to fall molt.
Leave the nest boxes open if you have them in chicken jail. You test if broodiness is broken by letting them out and seeing if they return to their nests. If they go into...
IF the birds get along (even with broody hormones making them crazy) and you have a larger crate (like I've done 2 hens in a 4x4 pen), you can crate multiple hens together.