OK Jon, it's late but I'll try to reconstruct this one.A monk started walking uphill on a winding mountain path at sunrise. It took him three days (with lunch breaks and rest stops) to reach the summit. He then began the journey down the mountain, same path, left at sunrise, no trick that I can think of, and it took him two days to complete the downhill journey.
Question: Is there any point on the path where he is at the same time of day?