Multiple choice

At what time between 2 and 3 o'clock will the hands of a clock be together?

  1. (9 + 10/11) min past 2

  2. (10 + 10/11) min past 2

  3. (11 + 10/11) min past 2

  4. (12 + 10/11) min past 2

  5. None of these
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B Correct answer
Explanation

The hands of a clock are together when the minute hand has gained 10 minutes over the hour hand. The formula for the time past H o'clock is (60/11) * H. For H=2, this is 120/11 = 10 + 10/11 minutes past 2.

AI explanation

Using the formula for coinciding hands, the time is 60 multiplied by the starting hour number divided by 11 minutes past that hour. For the time between 2 and 3 o'clock, the calculation is 120 divided by 11. This simplifies to 10 plus 10/11 minutes past 2.

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