SOLUTION: After Exactly 12o'clock in the noon, what time will the hands of a clock be together again ?
Complete Solution needed as soon as possible .
Best Regards . . . Ajwad
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Complete Solution needed as soon as possible .
Best Regards . . . Ajwad
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Question 1007804: After Exactly 12o'clock in the noon, what time will the hands of a clock be together again ?
Complete Solution needed as soon as possible .
Best Regards . . . Ajwad
You can put this solution on YOUR website! Well, this one involves an infinite series that is to be added...
When the minute hand travels 60 minutes, the hour hand travels 5 minutes.
When the minute hand travels 5 minutes, the hour hand travels (1/12)(5) minutes.
When the minute hand travels (1/12)(5) minutes, the hour hand travels (1/144)(5) minutes.
When the minute hand travels (1/144)(5) minutes, the hour hand travels (1/1728)(5) minutes...and so on...
Thus we can add up the travels of the hour hand as an infinite series,
where a1 = 5 and r = 1/12 and we get
S = 5 / (1 - 1/12) = 5 / (11/12) = 60/11 minutes or 5 5/11 minutes past 1 o'clock.
