Multiple choice

If the current time is 6:20, then after how much time will the hands of the clock make the same angle as they do at present?

  1. 20 minutes

  2. 10 minutes

  3. 25 5 11 minutes

  4. 35 5 11 minutes

  5. 15 5 11 minutes
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

At 6:20, the angle between hands is |30*6 - 5.5*20| = |180 - 110| = 70 degrees. The hands make the same angle when the minute hand is 70 degrees behind or ahead of the hour hand. This occurs after 70 / (5.5) = 140/11 = 12 8/11 minutes, or when the hands overlap and move to the same relative position.

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