Telling Time At 12 noon the hour hand, minute hand, and second hand of a clock are all pointing straight upward.
a. Find the first time after 12 noon, to the nearest tenth of a second, at which the angle between the hour hand and minute hand is 120°.
b. Is there a time between 12 noon and 1 P.M. at which the three hands divide the face of the clock into thirds (that is, the angles between the hour hand, minute hand, and second hand are equal and each is 120°)?
c. Does the alignment of the three hands described in part (b) ever occur?
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