Question 17

At what time between 10.00 AM and 11.00 AM,the minute hand and the hour hand of a watch would
make an angle of $$180^{0}$$ ?

Solution

At exactly 10 AM, angle between the two hands = 60 degrees

Applying the concept of relative velocity, we can say that the minute hand has to travel 180 - 60 = 120 degrees more at a relative velocity of 5.5 degrees/minute
Hence, time taken to make 180 degree angle between the 2 hands = 120/5.5 = 22 minutes

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At what time between 10.00 AM and 11.00 AM,the minute hand and the hour hand of a watch wouldmake an angle of $$180^{0}$$ ?

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At what time between 10.00 AM and 11.00 AM,the minute hand and the hour hand of a watch would
make an angle of $$180^{0}$$ ?