It looks like a Raleigh copy. You can get the Raleigh versions in pristine shape for $150. You don't see the Rudge versions as much, that does not make it a nicer bike, just different. I am not a 3 speed expert, but if I was getting one I would probably lean towards something a little different than a Raleigh you see every day.
This one looks to be in original condition right down to the grips and pump but with a few nick to the paint. I would put it in the $125 to $150 range.
Good luck!