Multiple choice

At what time between 5 and 6 o' clock are the hands of a 3 minutes apart?

  1. 24 min

  2. 12 min

  3. 13 min

  4. 14 min

  5. None of these
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A Correct answer
Explanation

The minute hand moves 6 degrees per minute, and the hour hand moves 0.5 degrees per minute. Relative speed = 5.5 degrees per minute. At 5 o'clock, the minute hand is at 0 and the hour hand is at 150 degrees. To be 3 minutes apart (18 degrees), the minute hand must be at 150 - 18 = 132 degrees or 150 + 18 = 168 degrees. Time = 132 / 5.5 = 24 minutes.

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