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Between the time shown and the next hour, the hands are at right angles twice. When is the SECOND of these times?

Competition practiceClocks
  • A10 10/11 min past 5
  • B45 min past 5
  • C27 3/11 min past 5
  • D43 7/11 min past 5

Step-by-Step Solution

At 5:00 the minute hand is 150° behind. It is 90° behind when 5.5m = 60 (m = 10 10/11) and 90° ahead when 5.5m = 240, so m = 43 7/11 min past 5. (27 3/11 is when the hands overlap; 45 min ignores the hour hand moving.)
Answer: D) 43 7/11 min past 5

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