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Friday·20·January·2006

Artur’s test

The monk climbs the mountain from 6am to 6pm. And the next day while he is descending from 6am to 6pm, a priest climbs. The priest gets to the top at 6pm, which is the same time that the monk gets to the bottom.

Is there a time that they are ever at the same height?

I solved this equationally at shopzilla somehow. I solved it graphically at shopzilla. The next day, I realized, that the picture of someone going down the other side was a red herring: if I had only reflected the downward trip on the upward trip, I would have noticed that they would cross paths!

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