LET x be the movement of the minute hand or long hand for an analog clock (to make it clear );x= x/12 + 40;12x =x + 480;11x=480;x=43.63;thus, the time when both hands shall be in opposite direction after two o'clock;2:43.63..... i think this is the only time when the hands are in opposite position, the question is look like misleading otherwise if that would be in the form of a right triangle or perpendicular to each other..
Course Hero uses AI to attempt to automatically extract content from documents to surface to you and others so you can study better, e.g., in search results, to enrich docs, and more. This preview shows page 1 - 2 out of 2 pages. Analog clock has minimum of two hands to show time, one is an hours hand and the other is a minutes hand. There are 12 divisions of the hour in a clock and 60 divisions of minutes. When the minute hand goes through 60 divisions the hour hand goes through one division. The minute and hour hand are opposite of each other every hour except for one. So, in a full day this happens 22 times. We have to find time after 2'Oclock after which the hour hand and minute hand are exactly opposite. "30\u00b0 (\\frac{m}{60})+240\u00b0=360\u00b0 (\\frac{m}{60})\\\\0.5\u00b0m-6\u00b0m =-240\u00b0\\\\m = 43.63 mins" Hence, the minute hand and hour are opposite to each other after 43.63 mins.
Prev Article Next Article (Last Updated On: January 20, 2020)  Problem Statement: CE Board May 1995In how many minutes after 2 o’clock will the hands of the clock extend in opposite directions for the first time? Problem Answer:The hands of the clock extend in opposite directions for the first time in 43.6 minutes. Latest Problem Solving in Clock, Variation, Progression and Miscellaneous ProblemsMore Questions in: Clock, Variation, Progression and Miscellaneous Problems Online Questions and Answers in Clock, Variation, Progression and Miscellaneous ProblemsMCQ in Clock, Variation, Progression and Miscellaneous Problems Prev Article Next Article |
What time after 5 00 am will the hands of the continuously driven clock extend in opposite direction
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