The minor angle between the hour hand and minute hand of a clock was observed at 8:48 am. The minimum deviation (in min) after 8:48 am when the angle increases by 50% is?
Explanation:
The angle between the two hands at h hours and m minutes = 30h-112m
∴ Angle at 8:48 am = 30×8-112×48 = |240 - 264| = 24°.
Now, the angle between the two hands should increase by 50% i.e., 12°.
Relative speed of the two hands = 6 – ½ = 11/2°/min.
∴ Time taken for angle to increase 12° = 1211/2 = 2411 minutes.
Hence, option (b).
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