I appreciate being cast in your riddle with such astute thinkers. I feel the other players are in another league when it comes to math problems, but thank you anyway. I see this one was settled while I slept. I really enjoy this type of problem where the solution can be had by the easy method or the hard method. Similar to bonanova's hole in a sphere, or the fly between two moving trains. You can utilize complex equations, or you can sit and think about it for awhile. I prefer to sit and think, but I seldom have time for either.