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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?

See The Solution Submitted by Sing4TheDay    
Rating: 3.0000 (3 votes)

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Solution per day = per night | Comment 1 of 7

Answer:  44 times PER 24 hrs

SoluTioN :  Per 24 hrs the minute hand performs 24 revolutions-

the hour hand only 2. THEREFORE THEY MEET 22 TIMES.

Prior to each meeting   and after each meeting there is a situation of 60 degrrees between them, ergo... 44 times.

If you mean "per day" as opposed to " per night" - at this time of year i.e. around the spring equinoctium- the division is  50-50;

22 per day and 22 per night. 

 

 


  Posted by Ady TZIDON on 2007-03-23 08:40:40
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