Multiple choice

At what time between 5 and 6 will the hands of a clock coincide.

  1. 200/11

  2. 300/11

  3. 400/11

  4. 250/11
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

At 5 o'clock, the minute hand is 25 minutes behind the hour hand. To coincide, the minute hand must gain 25 minutes. The gain rate is 55/60 minutes per minute. Time = 25 / (55/60) = 1500/55 = 300/11 minutes past 5.

AI explanation

To find when the hands coincide, we use the formula T = 60 multiplied by H divided by 11, where H is the current hour. Substituting 5 for H gives T = 300 divided by 11. This equals 300/11 minutes past 5 o'clock.

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