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I started climbing up the hill at 6 a.m. and reached the temple at the top at 6 p.m. Next day I started coming down at $6$ a.m. and reached the foothill at $6$ p.m. I walked on the same road. The road is so short that only one person can walk on it. Although I varied my pace on my way, I never stopped on my way. Then which of the following must be true?

  1. My average speed downhill was greater than that uphill.
  2. At noon, I was at the same spot on both the days.
  3. There must be a point where I reached at the same time on both the days.
  4. There cannot be a spot where I reached at the same time on both the days.
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