After you remove the rooster from the coop how long will hens lay fertile eggs?

After the rooster has mated with a hen the sperm packet is good for about 10 days. Unlike most creatures the birds do not need fertilizing each time, for each egg. The sperm is stored in the cloaca of the hen for up to 10 days and then needs replenishing. If the rooster has died or otherwise left the flock his progeny may go on for a few more days as the hens eggs will still be fertile until the sperm packet is depleted.