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The clock shows the hour just struck. At what time between this hour and the next will the hands lie exactly on top of each other?

Competition practiceClocks
  • A22 min past 4
  • B21 9/11 min past 4
  • C20 min past 4
  • D54 6/11 min past 4

Step-by-Step Solution

At 4:00 the minute hand is 120° behind. It gains 5.5° a minute, so it catches up after 120 ÷ 5.5 = 240/11 = 21 9/11 min. (20 min ignores the hour hand moving on; 54 6/11 min is when they are opposite.)
Answer: B) 21 9/11 min past 4

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