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?

A

My average speed downhill was greater than that of uphill

B

At noon, I was at the same spot on both the days.

C

There must be a point where I reached at the same time on both the days.

D

There cannot be a spot where I reached at the same time on both the days.