To find the time when the hands of a clock are in opposite directions (180 degrees apart) between H and H+1 o'clock, we can use the formula relating the angle between the hands. The angle between the hour and minute hands at M minutes past H o'clock is given by $|30H - \frac{11}{2}M|$. We want this angle to be 180 degrees. For the time between 3 and 4 o'clock, H=3.
At what time between 3 and 4 o'clock will the hands of a watch point in opposite directions ?
Asked in KPSC KAS Prelims 2017 · Topic: Measurement/Unit (Physical Quantities (Fundamental and Derived))
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