Multiple choice

Between 3 and 4 o'clock, both hour hand and minute hand will coincide past 3 o'clock between:

  1. 15-16 minutes

  2. 16-17 minutes

  3. 17-18 minutes

  4. 18-19 minutes
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The hands coincide at T = (60/11) * H minutes past H. For H=3, T = 180/11 = 16.36 minutes. This falls between 16 and 17 minutes.

AI explanation

At 3 o'clock, the minute hand is 15 minute spaces behind the hour hand, and they will coincide when the minute hand gains this amount. The required time is calculated as 60 divided by 55 and multiplied by 15, which equals 180 divided by 11. This results in 16 and 4/11 minutes, placing the time squarely between 16 and 17 minutes past the hour.

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