So, here's the solution to the puzzle. All answers are correct. (Doesn't that make you feel like you're in Poetry class, rather than Math class?). If you put the dog in any position (between the boy and the girl, that is), facing either direction, you can then track his path backwards in time (rewinding the video, as it were), and, lo and behold, at time zero there they all are, boy, girl, and dog, at the same starting spot. Therefore, the position that you chose for 10 minutes later, or, in fact, any time t later, is correct. Regardless of which position you choose.
I'll smack anyone who says the phrase "outside of the box" right now.
If the answer above doesn't satisfy you, ask your local mathematician to look at it. Now, mathematicians aren't really all in agreement, some think that it doesn't make sense at all to talk about what happens at time 0, but that's just the way some mathematicians are.
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