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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.)
for the full 12 hours | Comment 2 of 9 |
syms m
for h=0:11
  % h*30+m/2=360-m*6
  s=solve(h*30+m/2==360-m*6);
  fprintf('%2d:%011.8f\n',h,s);
end

finds

>> clockTime
 0:55.38461538
 1:50.76923077
 2:46.15384615
 3:41.53846154
 4:36.92307692
 5:32.30769231
 6:27.69230769
 7:23.07692308
 8:18.46153846
 9:13.84615385
10:09.23076923
11:04.61538462

  Posted by Charlie on 2023-09-10 22:08:12
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