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On the clock (Posted on 2007-03-23) Difficulty: 3 of 5
How many times per day, and at what time(s) do the hour and minute hands on a clock form EXACTLY a 60 degree angle?

  Submitted by Sing4TheDay    
Rating: 3.0000 (3 votes)
Solution: (Hide)
Four times.

2:00:00 A.M.
10:00:00 A.M.
2:00:00 P.M.
10:00:00 P.M.

Since each second that ticks by, the minute hand moves 1/10 of a degree and the hour hound moves 1/120 of a degree, no other times are quite EXACTLY 60 degrees. It comes pretty close (within a few hundredths of a degree) numerous other times per (24 hour) day but not quite. Of course this all assumes an extremely accurate clock. :-)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
No Subjectarman2012-12-14 06:32:14
Some ThoughtsanswerK Sengupta2007-09-20 16:12:03
re(3): ... and at what timesSing4TheDay2007-04-11 17:38:39
re(2): ... and at what timesCharlie2007-04-01 21:16:05
re: ... and at what timesAdy TZIDON2007-04-01 03:21:34
Solution... and at what timesCharlie2007-03-23 09:07:51
Solutionper day = per nightAdy TZIDON2007-03-23 08:40:40
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