At what time between 3 and 4 o’clock will the minute hand and the hour hand are on the same straight line but facing opposite directions ?

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Accepted Answer

On straight line means 180 degree angle. 180 = 11/2 min – 30 hrs 180 = 11/2 m – 30 × 3 180 = 11/2 m – 90 (180 + 90) 2 = 11 m m = 540/11 = 49 1/11 minutes.

At what time between 3 and 4 o’clock will the minute hand and the hour hand are on the same straight line but facing opposite directions ?

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