The time is 9:00. On a 12-hour clock, how many minutes elapse before the hour hand and minute hand are 28 degrees apart for the first time?
Hour hand starts at 270 and adds 1/2 degree per minute
Minute hand starts at 0 and adds 6 degrees per minute
270 + 1/2x - 6x = 28
242 = 5.5 x
x = 44 minutes
9 :44 270 + 44(1/2) - 44(6) = 28 degrees