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Kirti's cookery show starts at the time shown. When will the hour and minute hands next lie on top of each other?

Competition practiceClocks
  • A16 4/11 min past 9
  • B45 min past 9
  • C49 1/11 min past 9
  • D54 6/11 min past 9

Step-by-Step Solution

The clock shows 9:15. At 9:00 the minute hand is 270° behind the hour hand and gains 5.5° a minute, so they meet 270 ÷ 5.5 = 49 1/11 min past 9, which is after 9:15. (54 6/11 uses 300°, the 10 o'clock gap; 16 4/11 is a right angle.)
Answer: C) 49 1/11 min past 9

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