At what time between 2 and 3 o'clock will the hour hand and minute hand of a…

2020

At what time between 2 and 3 o'clock will the hour hand and minute hand of a clock together?

  1. A.

    10 11/10 min. past 2

  2. B.

    10 10/11 min. past 2

  3. C.

    11 10/11 min. past 2

  4. D.

    11 min. past 2

Attempted by 13 students.

Show answer & explanation

Correct answer: B

At 2 o'clock, the minute hand is 60 degrees behind the hour hand. The relative speed is 5.5 degrees per minute, so time to meet = 60 / 5.5 = 120/11 = 10 10/11 minutes. Therefore the hands meet at 10 10/11 minutes past 2.

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