How many times in a day, the hands of a clock are straight?
Question
How many times in a day, the hands of a clock are straight?
Solution
The hands of a clock are straight 44 times in a day. Here's how:
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In every hour, the minute and the hour hand overlap twice - once when they are straight at 0 minutes and once when they are straight at 30 minutes.
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However, this is not the case at 12:00 and 6:00. At these times, the hands are straight only once.
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So, in 12 hours, the hands are straight (12*2)-2 = 22 times.
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Since there are 24 hours in a day, the hands are straight 22*2 = 44 times in a day.
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