Multiple choice

At what time between 4 o'clock and 5 o'clock do the two hands of a clock coincide?

  1. 21 9 11 minutes past 4

  2. 54 5 11 minutes past 4

  3. 23 7 11 minutes past 4

  4. 22 minutes past 4

  5. 19 minutes past 4
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A Correct answer
AI explanation

Using the formula for coinciding hands, the minutes past the hour equals 60 times the starting hour divided by 11. For 4 o'clock, the calculation is 60 times 4 divided by 11, yielding 240 divided by 11. The hands coincide at 240 divided by 11 minutes past 4, which equals 21 and 9 over 11 minutes past 4.

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