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Mathematics, 05.05.2020 17:28 SmokeyRN

At 5 AM one day, a monk be- gan a trek from his monastery by the sea to the monastery at the top of a mountain. He reached the mountain-top monastery at 11 AM, spent the rest of the day in meditation, and then slept the night there. In the morning, at 5 AM, he began walking back to the seaside monastery. Though walking downhill should have been faster, he dawdled in the beautiful sunshine, and ending up getting to the seaside monastery at exactly 11 AM.

(a) trip when the monk was in exactly the same place on both days? Why or why not?

(b) Suppose the monk walked faster on the second day, and got back at 9 AM. What is your answer to part (a) in this case?

(c) Suppose the monk started later, at 10 AM, and reached the seaside monastery at 3 PM. What is your answer to part (a) in this case?

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