The given time is 8:48 AM. Angle made by hours hand w.r.t 12 is 8*30 ( 30 degrees in 1 hour )+0.5*48(0.5 degree in 1 minute )=240+24=264 degrees. Angle made by minutes hands w.r.t 12 is 48*6=288 degrees. ⇒ The angle between them is 288−264=24 degrees. This should further increase by 12 degrees ( 50% of 24 ) After m minutes, the further increase in angle =(6−0.5)⋆m=