If the minute hand of a clock is 20 degrees behind the hour hand at this moment, then in 18 minutes, the minute hand will be how many degrees ahead of the hour hand?
+128407 The minute hand moves 2pi/60 = pi/30 rads every minute = 6° every minute
The hour hand moves pi/6 rads every hour so it moves pi/360 rads every miniute = .5° every minute
So...in 18 minutes....
The minute hand moves 18* 6 = 108°
And the hour hand moves .5 * 18 = 9°
So....
The minute hand is 108 - ( 9 + 20) = 108 - 29 = 79° ahead of the hour hand after 18 mnutes
