SOLUTION: What time after 8 o� clock will the hands of the continuously driven clock be opposite each other?

Question 628542: What time after 8 o� clock will the hands of the continuously driven clock be opposite each other?

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
What time after 8 o� clock will the hands of the continuously driven clock be opposite each other?
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At 8, the angle is 120 degrees
In t minutes, the minute hand will move 6t degrees
In t minutes, the hour hand will move t/2 degrees
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Find t so that the angle is 180 degs
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Angle = 120 + 6t - t/2 = 180
11t/2 = 60
t = 120/11 minutes
Time = 8:10:54.5454...
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