Multiple choice

At what time, in minutes, between 3 0'clock and 4 0'clock, both the needles will coincide each other?

  1. 5 1/11 min. past 3

  2. 12 4/11 min. past 3

  3. 13 4/11 min. past 3

  4. 16 4/11 min. past 3
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The hands coincide when the minute hand has gained 15 minutes on the hour hand. The relative speed is 55/60 minutes per minute. Time = 15 / (55/60) = 900/55 = 180/11 = 16 4/11 minutes past 3.

AI explanation

To find when the hands coincide, we use the formula M = 60 multiplied by H divided by 11, where H is the current hour. Substituting 3 for H gives M = 180 divided by 11. This simplifies to 16 4/11 minutes past 3 o'clock, which is when the hands overlap.

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