Between 2:00 and 3:00, at what exact time are the hands of a clock equidistant from the numeral 12?
Answer and explanation
Correct answer: D. 2 hours 18 6/13 minutes
- Step 1: Minute hand position from 12 = 6M degrees. Hour hand from 12 = 60 + 0.5M degrees.
- Step 2: Equidistant on opposite sides: 6M = 360 - (60 + 0.5M) => 6.5M = 300 => M = 600/13 = 18 6/13 minutes.
- Step 3: Time is 2 hours 18 6/13 minutes.
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