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watch

by ankitasingh » Mon Dec 14, 2009 4:49 am
What is the closest time between 7 and 8 when the hands of your watch are exactly opposite each other?
(a) 7 Hr - 5 Min
(b) 7 Hr - 5.5 Min
(c) 7 Hr - 6 Min
(d) 7 Hr - 6.5 Min

please provide the explanation.
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by valleeny » Mon Dec 14, 2009 5:52 am
Angie between each hour (eg. 2 to 3, 7 to 8) = 360/12 = 30deg
In one minute, the second hand moves by 360/60=6deg
In one minute, the hour hand moves by 30/60=0.5deg
Set up 6t=30+0.5t where t is time in minute travelled by both hands
Solve t=5 5/11 min =5.5min approx. Ans B
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by ankitasingh » Mon Dec 14, 2009 6:02 am
thanks valleeny
5.5 is the correct answer.
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by valleeny » Mon Dec 14, 2009 6:08 am
Not sure if this is the best method though. I thought long and hard before arriving at this method. What about you
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