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At the time shown the hands make an angle of 60°. When, after this, will they FIRST be 50° apart?

Competition practiceClocks
  • A1 9/11 min past 2
  • B20 min past 2
  • C9 1/11 min past 2
  • D10 min past 2

Step-by-Step Solution

At 2:00 the minute hand is 60° behind and closes the gap at 5.5° a minute. The gap is 50° when 60 − 5.5m = 50, i.e. m = 10 ÷ 5.5 = 1 9/11 min. (20 min past 2 is the SECOND time, after the hands have crossed; 10 min treats the gain as 1° a minute.)
Answer: A) 1 9/11 min past 2

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