The Hour Hand Is Between 7 And 8.what Is The Time If Minute Hand Is 54 Degrees Ahead Of Hour Hand?
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asked 4 months ago
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The hour hand advances 1/2° per minute, and the minute hand advances 6° per minute. At time t minutes after the 7:00 hour, the hour hand will be at 210° + (t/2)°, and the minute hand will be at (6t)°. These will differ by 54° when
210° + (t/2)° + 54° = (6t)°
264 = 5.5*t
264/5.5 = t = 48
210° + (t/2)° + 54° = (6t)°
264 = 5.5*t
264/5.5 = t = 48
The time will be 7:48.
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