Having said that I still think there is an implicit assumption in MTW's puzzle, namely that the only factor affecting the movement of the object is the defined preference of time.
That's sort of a creationist position - the idea that "assume no other influences" is itself a positive assumption that must be defended, rather than simply the lack of any other positive assumptions. And erroneous, as far as I can see.
No other factors are assumed because no other factors are specified. The idea that it's not reasonable to dismiss unspecified factors comes from your improper assumption about Joe; that what would
tend to be true about a human man - he's got a job he needs to be at, or a home in one or another city, or other factors - must neccesarily be true for the noun named "Joe."
In the context of a logic problem, it doesn't matter what the word "Joe" refers to. The only qualities that are relevant to the problem are specified in the problem. That's how logic problems work.
You're trying to solve a logic problem with the tools you'd use for a riddle. No wonder you have a tough time with them.
Crashfrog writes:
"If King Midas sits on gold, who sits on silver?"
The Lone Ranger.