Recent content by expectedvalue

I tried to clarify this earlier... Decimal seconds are allowed. The seconds do not have to be integers. But give your answers with fractions. Unfortunately, this is a brain teaser and not a practical problem. So, 'close enough' is not equidistant.

No, unfortunately 3:59:39 is not a valid answer: From minute to hour: 121.925° From hour to second: 114.175° From second to minute: 123.9°

This time is: 4:00:40. This is not a valid solution: From minute to hour: 119 2/3° From hour to second: 119 2/3° From second to minute: 120 2/3° The hour hand cannot be at 4:00 or the minute hand at 12:00 when the second hand is at 8:00, because it would now be 40 seconds after 4:00, thus the...

Parlyne is correct. I wanted to exclude 12:00:00 from consideration as an answer, because all three hands are on top of each other. But one hand can be pointing at 12. 8:20:00 is not a valid solution: From second to minute: 120° From minute to hour: 130° From hour to second: 110°

Shollenbarger's Clock: Excluding 12:00, Is there ever a time on a clock where the second, minute and hour hands are equidistant from each other? (In other words, the three hands are all 120° apart? If yes, give the EXACT time(s) that this occurs. If no, prove that no such time exists. Good Luck!