For how many times is the minute hand of a clock opposite to the hour hand from 8:00pm on the 6th of a month to 6:00 am on the 10th to the same month
Answers
75 times minute hand of a clock opposite to the hour hand from 8:00pm on the 6th of a month to 6:00 am on the 10th
Step-by-step explanation:
hr hand completes 360° in 12 hr = 12 * 60 = 720 min
=> hr Clock completes in 1 min = 1/2°
then in x minutes hr clock completed = x/2°
in 60 minutes Minutes hand complete 360°
=> in 1 Minutes Minutes hand complete = 6°
=> in x Minutes Minutes hand complete = 6x°
6x = 360 + x/2
=> 11x/2 = 360
=> x = 720/11 mins
=> in 12 hrs there are 720 mins
=> in 12 hrs 11 times opposite to each other
In the clock, hands are 11 times opposite to each other in 12 hours and 22 times opposite in a day
8:00 PM 6th to 8:00PM 9th
= 3 * 22 = 66 Times
8:00PM 9th to 6 : AM 10th = 11 - 2 = 9 times
Total = 66 + 9 = 75 times
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