Question
At what time between 3 and 4 o’clock will the
hands of a watch be in opposite directions?Solution
At 3 o’clock, the hands of the watch are 15 minutes, spaces apart. To be in opposite directions, they must be 30 minutes spaces apart. ∴ Minute hand will have to gain 45 minutes spaces. 55 minutes spaces are gained in 60 minutes. 45 minutes spaces are gained in (60/55×45) min or 49*1/11 min ∴ Required time = 49*1/11 min past 3.
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