Multiple choice

Between 2 and 3 o'clock, at what time do the hands of the clock coincide?

  1. 2:27:16

  2. 2:21:49

  3. 2:16:21

  4. 2:10:55

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The hands coincide when the minute hand has gained 10 minutes (at 2 o'clock) on the hour hand. The relative speed is 5.5 degrees per minute. Time = (10 * 6) / 5.5 = 60 / 5.5 = 120/11 = 10.909 minutes. 2:10:55 is the correct time.

AI explanation

Using the formula for coinciding hands, where the time in minutes is 5 times the hour multiplied by 12 divided by 11, we substitute the values for the second hour. The calculation is 5 times 2, which equals 10, and multiplying by 12 divided by 11 gives 120 divided by 11. This result is 10 minutes and 10 divided by 11 seconds, meaning the hands coincide at 2:10:55.

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