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Between the hour shown and the next hour, at what time do the two hands overlap?

Competition practiceClocks
  • A50 min past 10
  • B21 9/11 min past 10
  • C55 min past 10
  • D54 6/11 min past 10

Step-by-Step Solution

At 10:00 the minute hand is 300° behind the hour hand. Gaining 5.5° a minute, it needs 300 ÷ 5.5 = 600/11 = 54 6/11 min. (50 min ignores the hour hand moving on.)
Answer: D) 54 6/11 min past 10

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