You should get this and No Mistakes in the same game by following the same technique. Start a 5m Score Attack game on Championship II on Beginner difficulty and move Pac-Man over to the left or right hand side of the screen, then simply sit there until a ghost eventually moves over to you. As he gets close, go to other side of the screen and sit there, rinse and repeat until the 5 minutes are up.
As long as you wake up no other ghosts or eat no pellets the speed won't increase and you'll be able to do this very easily.