Minute hand rotates with the speed: 360°/(60min) = 6° per minute.
Hour Hand rotates with the speed: 360°/((24*60)mins) = 0.25° per minute.
At 6 o' clock, minute hand is vertical up & hour hand is vertical down.
Let us assume, minute hand is at 0°, this means hour hand is at 180°.
So, angle between these two hands after t minutes from 6 a.m is either (180° + 25t) - 6t or 6t - (180° + 25t)
Angle given in the question is 60°.
(180° + 25t) - 6t = 60
-> t = 120/5.75
-> t= 20.86min i.e. 6:20am
6t - (180° + 25t) = 60°
-> t= 41.73min i.e 6:41am
6:22am is most closer to the actual answer .
Therefore, Option A is correct