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Soon after the hour shown, the hands point in exactly opposite directions. At what time does this happen?

Competition practiceClocks
  • A5 5/11 min past 7
  • B38 2/11 min past 7
  • C5 min past 7
  • D21 9/11 min past 7

Step-by-Step Solution

At 7:00 the minute hand is 210° behind the hour hand. Opposite means 180° apart, so it must gain 30° at 5.5° a minute: 30 ÷ 5.5 = 60/11 = 5 5/11 min past 7. (38 2/11 min = 210 ÷ 5.5 is when the hands overlap; 5 min ignores the hour hand moving.)
Answer: A) 5 5/11 min past 7

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