Engineering Board Exam Reviewer · Angles and Angle Measurement · medium

Between 2 o'clock and 3 o'clock, after how many minutes past 2:00 do the hands of a clock coincide?

  1. 10
  2. 10.91
  3. 12
  4. 9.09

Answer

B. 10.91

Solution

The minute hand gains 5.5° per minute, and it must make up 60° (the hour hand's head start at 2:00): t=60/5.5=120/11 10.91 min.

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