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?
(In reply to re(2): ... and at what times
Okay, yeah, they would actually form EXACT 60 degree angles more often than four times a day but on an average clock one would not be able to ascertain the EXACT time with the fractional parts of seconds involved. I suppose I should have included something in the problem that would exclude angles formed during the movement of the hands. When I came up with the problem I was looking at a clock that had a second hand that ticked as opposed to a smooth sweep and I could actually see the slight movement of the minute hand each second so I was operating under a certain (albeit possibly flawed) paradigm. Anway, sorry for the confusion.