There's no way to generalize how long it will take anyone to get a state refund in their bank account. There are too many variables on what all was reported in a state return, what a state might decide to examine, and over 40 different state tax agencies, each doing their own thing and at their own speed.
There may be some FAQs on your state's department of revenue website that tells about how long one might expect. Otherwise, here how to track it:
FAQ: How do I track my state refund?
https://ttlc.intuit.com/replies/3300211
