Find the time between two and three o'clock that the minute hand and hour hand of a clock are diametrically opposite.

Guest Oct 16, 2020

#1**+1 **

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

ElectricPavlov Oct 16, 2020