Find the time between two and three o'clock that the minute hand and hour hand of a clock are diametrically opposite.
+37146 Hour hand starts at 60 degrees and moves 1/2 degree per minute 1/120 degree per sec
minute hand moves 1/10 degree per second
60 + 1/120 x = 1/10 x -180
240 + 1/120 x = 1/10 x
240 = 1/10 x - 1/120 x
240 = 12/120 x = 1/120 x
240 = 11/120 x
x = 2618.18 seconds after 2 o'clock
minute hand will be at 43.63 minutes = 43:38
~ 2 : 43 : 38
