I think the puzzle is faulty.
c does not move. there is no distance given from the beginning position to the others relative to it's location, while you can compute distance
traveled by the other two, you cannot determine distance to C.
Since you do not know the position to C, the assertion that all 3 are close together after 3 hours seems completely manufactured.
If they had started at 12 and they were all assigned a 3 hour trip. The time would necessarily be 3 pm.
REMEMBER: that the set up says "At the end of that three hour span, they will all pass within easy sight distance of each other at the exact same
But do not forget that C didn't move. It seems like it was sitting at the end point for either A or B.
At the computed distance end point, A is nearly twice as far away as B, so it does not seem possible/probable that all three would be within sight
The problem with the puzzle is NOT that it is unsolveable. It is poorly put together.
Thus it is with ALL seeming paradox:
1. The Cretin says: All cretins are liars. THIS is merely how language gets us into trouble and quandaries with misuse whether accidental or
2. The Barber shaves those and ONLY those men who do not shave themselves. WHO shaves the Barber?
So we can put seeming puzzles together all day long that seem unsolvable BUT the set up creates impossible/untenable conditions from the start. there
IS NO PARADOX
I think this has happened here. So in effect, the puzzle might be pure nonsense.
There is no goofy "magic" here.
edit on 28-3-2013 by akalepos because: spelling