CAT Quant Practice Problems

Question: I started climbing up the hill at 6 a.m. and reached the top of the temple 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?

My average speed downhill was greater than that of uphill
At noon, I was at the same spot on both the days.
There must be a point where I reached at the same time on both the days.
There cannot be a spot where I reached at the same time on both the days.
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CAT Quant Practice Problems
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