SOLUTION: Problem What time between 2 and 3 o�clock will the angle between the hands of the clock be bisected by the line connecting the center of the clock and the 3 o�clock mark?

Question 765117: Problem
What time between 2 and 3 o�clock will the angle between the hands of the clock be bisected by the line connecting the center of the clock and the 3 o�clock mark?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
What time between 2 and 3 o�clock will the angle between the hands of the
clock be bisected by the line connecting the center of the clock and
the 3 o�clock mark?
:
let x = position of minute hand
then
*360 = 6x is angle (12 = 0 degrees)
:
The small hand, one hour = 30 degrees; passed 2 0'clock add 60 degrees
*30 + 60 = + 60, the angle of the small hand
:
The angles of the hands and 90 degrees (3 o'clock) are equal
small hand to 90 degrees = long hand to 90
90 - (+60) = 6x - 90
90 - - 60 = 6x - 90
30 - = 6x - 90
30 + 120 = 6x +
120 = 6.5x
x = 120/6.5
x = 18.46 min or 18 min 27.6 seconds
:
The time 2:18:27.6 sec will satisfy this requirement

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