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After the hour shown, when are the hands first exactly 10° apart?

Competition practiceClocks
  • A45 min past 9
  • B1 9/11 min past 9
  • C47 3/11 min past 9
  • D50 10/11 min past 9

Step-by-Step Solution

At 9:00 the minute hand is 270° behind the hour hand. Gaining 5.5° a minute, it is 10° behind when it has gained 260°: 260 ÷ 5.5 = 47 3/11 min. (50 10/11 min is when it is 10° AHEAD, which comes later.)
Answer: C) 47 3/11 min past 9

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