Re: If package queen doesn't lay, howlong until laying workers?
This may help:
Note that aside from providing larva for raising a new queen, adding the brood frames also eventually provide new workers, which can replace at least some of the older workers.
When the hive is queenless, and therefore broodless, for several weeks sometimes some workers develop the ability to lay eggs. It's not actually the lack of a queen, but the lack of brood. But the lack of brood is caused by the lack of a queen. These are usually haploid (infertile with a half set of chromosomes) and will all develop into drones.
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