At what time between 9 and 10 o'clock will the hands of a watch be together?

Answers (1)

The speed of the hours hand = 360/12x60 = 1/2 degree per minute

The speed of the minute hand = 360/60 = 6 degree per minute 

The relative speed minutes hand and hour hand is = 6-1/2=11/2 degrees per minute.

At 9 o clock the angle between hours hand and minutes hand is 270 degrees. Time taken to cover the distance 270 degrees =270(2/11)=49(1/11) minutes 
The two hands meet each other at 49 1/11min past 9 o'clock.

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