A clock stops in such a way that all three hands are equidistant from each other. It stopped between midnight and 4 am. Some evil person soldered the hands in their relative position, and then spun them around so the proper time is not shown. At what time did they stop?

Originally posted by Phlabibit Is the second hand a clicker, and the minute hand? Or is it free flowing like a Rolex. This info will help my calculations.
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Doesn't really matter....so it's a clicker. I can't afford a Rolex.

If you can do this with CAD, I will be extremely impressed and shocked.

Originally posted by richjohnson Is the hour hand a clicker too? (i.e. only stops at the minute markers?)

Strictly speaking, a clicker is not possible to make. Motion in our world is continuous. This point is not important anyway, in the sense that it can be solved without knowing this.

Originally posted by royalchicken Strictly speaking, a clicker is not possible to make. Motion in our world is continuous. This point is not important anyway, in the sense that it can be solved without knowing this.

a 'clicker' is a hand which has 60 points around the clock where it stops, and moves quickly between those points. Unless the answer is 12:00:00, we need to know the rules of motion for each of the hands.

If all three hands are clickers, the answer is 2:32:52

Originally posted by richjohnson a 'clicker' is a hand which has 60 points around the clock where it stops, and moves quickly between those points. Unless the answer is 12:00:00, we need to know the rules of motion for each of the hands.

If all three hands are clickers, the answer is 2:32:52

Erm...you are looking for a time between 12 and 4 am when the angle between the second hand and minute hand, minute and hour hand, and hour and second hand are all 120 degrees. How did you arrive at 2:32:52?

Originally posted by royalchicken Erm...you are looking for a time between 12 and 4 am when the angle between the second hand and minute hand, minute and hour hand, and hour and second hand are all 120 degrees. How did you arrive at 2:32:52?

The hour hand is at 72 degrees (3 clicks past the 2), the minute hand is at 192 degrees (2 clicks past the 6), and the second hand is at 312 degrees (8 clicks before the 12).

(0 degress = 12 o'clock)

In a clicker the hands move in 6 degree increments, so the hour hand moves only 5 times per hour (at 00, 12, 24, 36, 48).

Originally posted by richjohnson The hour hand is at 72 degrees (3 clicks past the 2), the minute hand is at 192 degrees (2 clicks past the 6), and the second hand is at 312 degrees (8 clicks before the 12).

(0 degress = 12 o'clock)

In a clicker the hands move in 6 degree increments, so the hour hand moves only 5 times per hour (at 00, 12, 24, 36, 48).

Another answer would be 21 seconds before 4 am (for a clicker).

Originally posted by richjohnson The hour hand is at 72 degrees (3 clicks past the 2), the minute hand is at 192 degrees (2 clicks past the 6), and the second hand is at 312 degrees (8 clicks before the 12).

(0 degress = 12 o'clock)

In a clicker the hands move in 6 degree increments, so the hour hand moves only 5 times per hour (at 00, 12, 24, 36, 48).

Also, hour hand where you said, and switch minutes/seconds: 2:54:32.72 approximately.