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Clock Time Consideration (Posted on 2023-09-10) Difficulty: 1 of 5
A clock has Hour and Minute hands of the same length and NO NUMERALS on its face.

At what time between 6 O'clock and 7 O'clock will the time on the clock appear to be the same when the reflection of the clock is read on a mirror?

Source: Lewis Carroll

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: for the full 12 hours | Comment 3 of 9 |
(In reply to for the full 12 hours by Charlie)

Charlie:


Your list omits 0:00.000000 (ie, midnight and noon)

If you include that, then it is clear that this happens 13 times in 12 hours, so every 12/13 of an hour.  Between 6 and 7, it happens at
7*(12/13) hours, which equals 84/13 hours = 6+6/13 hours.

  Posted by Steve Herman on 2023-09-11 17:28:03
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