Today as I was riding home, in the rain, a truck pulls up beside me in the next lane (aka the left travel lane), paces me, then the woman driving the truck, as we're going down the road, asks me "Do you want a ride?"
My first thought was "Is she out of her ever-loving mind?" I replied "No thanks" and kept on riding.
I have had folks ask if I wanted or needed a ride, usually when I am walking the bike up a hill.
I have NEVER had anyone ask if I wanted a ride while I am rolling down the road (two travel lanes on each side, 40 MPH zone), in moderate traffic.