In 45 minutes assuming only the education of the (wo)man on the Clapham Omnibus explaining P vs NP is always going to be extremely difficult.

I've never made the mistake of thinking that after a 45 minute episode of in our time on, say, Cyrus the Great, that I'm now in a position to write an essay on the man. I would assume that none M/NS/CS types don't make that mistake after listening to the episode on P vs NP.