Dear Hotel Guests,
Check in time is three or whenever you want to arrive after that. Check out time the following day is noon at the latest. Departure is not based on “when you check in.” If you arrive five hours after three, you do not get to leave five hours after check out time.
I know you read it in your unspecified “book” of information, but when you reserve a room, you’re reserving it for any amount of time you’d like to use it between official check out and check in times.
It sounds like what you may be looking for is a pay by the hour motel.
Friendly Neighborhood Desk Clerk.