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At the time shown, how many minutes will pass before the minute hand is exactly on top of the hour hand?

Competition practiceClocks
  • A58 2/11 min
  • B38 2/11 min
  • C52 8/11 min
  • D65 5/11 min

Step-by-Step Solution

The clock shows 6:40. The hands overlapped at 6:32 8/11, which has passed. The next overlap is 7:38 2/11 (210 ÷ 5.5 min past 7). From 6:40 that is 20 + 38 2/11 = 58 2/11 min. (38 2/11 is the minutes past 7, not the wait; 65 5/11 is the gap between overlaps.)
Answer: A) 58 2/11 min

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