Question on gravitational time dilation

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thr33
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Hello,

I am new to the site and have question. I have three clocks (a,b,c). Clock a is placed on top of a mountain, 6000 ft higher than clock b, which is at sea level. Now I know that clock a will run slower than clock b. Now if were to dig a hole 6000ft below sea level and place clock c there, would c run faster than b?
 
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You have it backwards, clock b at the bottom of the mountain runs slower than clock a at the top. And clock c at the botttom of a hole would run slower than either, see this recent thread.
 
so dyslexic sometimes... thank you for the link.