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At what time between 7 and 8 o'clock is the minute hand exactly 5 minute-spaces AHEAD of the hour hand?

Competition practiceClocks
  • A49 1/11 min past 7
  • B43 7/11 min past 7
  • C32 8/11 min past 7
  • D38 2/11 min past 7

Step-by-Step Solution

5 minute-spaces = ° = 30°. At 7:00 the minute hand is 210° behind; it must gain 210 + 30 = 240°, at 5.5° a minute: 240 ÷ 5.5 = 43 7/11 min past 7. (38 2/11 is when the hands overlap; 32 8/11 puts the minute hand 30° BEHIND.)
Answer: B) 43 7/11 min past 7

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