5-10 minutes per shirt. I store them folded, so I iron them before wearing, rather than after washing.
Here's the trick: I don't bother doing the back, because I never take my jacket off. Of course, by that logic, I shouldn't bother doing the sleeves either, but whatever -- I like a bit of luxury.
Here's the running order: Yoke. Left cuff. Left sleeve. Right cuff. Right sleeve. Collar. Left front. Right front. Pwned.
If you pick out your five shirts for the week, I'm...