at what time between 2 and 3 o'clock will the hands of a clock be together

At what time between 2 and 3 o’clock will the hands of a clock be together?
A) (9 + 10/11) min past 2 B) (10 + 10/11) min past 2
C) (11 + 10/11) min past 2 D) (12 + 10/11) min past 2

Answer:   B) (10 + 10/11) min past 2

At 2 o’clock, the hour hand is at 2 and the minute hand is at 12, i.e. they are 10 min spaces apart. 

To be together, the minute hand must gain 10 minutes over the hour hand. 

Now, 55 minutes are gained by it in 60 min.

  10 minutes will be gained in  6055×10

“>6055×106055×10

 min. =  101011

“>101011101011

 min. 

The hands will coincide at  101011

“>101011101011

 min. past 2.