Clock Hands Challenge

[Thomas Okken]

(03-06-2019 05:57 PM)ijabbott Wrote:  So either 0º or 180º would occur every \(\frac{6}{11}\) hours (22 times per 12 hour period, or 44 times a day).

Not only that, but the 0° and 180° events are uniformly spaced: there is a 0° event exactly halfway between two adjacent 180° events, and vice versa. You could generalize this further by counting the moments when the hands are at right angles to each other, which always happens halfway between 0° and 180°, or 180° and 0°.