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Starting from the hour shown, how many minutes pass before the hands are at right angles for the SECOND time?

Competition practiceClocks
  • A10 10/11 min
  • B32 8/11 min
  • C49 1/11 min
  • D43 7/11 min

Step-by-Step Solution

At 5:00 the minute hand is 150° behind. It gains 5.5° a minute. First right angle: 90° behind, after (150 − 90) ÷ 5.5 = 10 10/11 min. Second: 90° ahead, after (150 + 90) ÷ 5.5 = 240/5.5 = 43 7/11 min. (32 8/11 min is the gap between the two right angles.)
Answer: D) 43 7/11 min

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