Question
What is the angle between the minute hand and the hour
hand at 1:40hrs when taken in anticlockwise direction from the minute hand?Solution
The logic followed here is as follows, Hour hand makes an angle of 30° in one hour and an angle of 0.5° in one minute. Similarly, minute hand makes an angle of 6° in one minute. So, angle made by hour hand at 1:40hrs = (1 X 30 + 0.5 X 40) = 30 + 20 = 50° Similarly, the angle made by minute hand at 1:40hrs = 40 X 6 = 240° So, the angle between the hour and minute hand at 1:40hrs = 240° - 50° = 190°
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