Q. At what angle the hands of a clock are inclined at 40 minutes past 2?
At 2 o’ clock, the hour hand is at 60° from the vertical. In 40 minutes, Hour hand = 60 + 40 x (0.5) = 80° (The hour hand moves at 0.5 dpm) Minute hand = 40 x (6) = 240° (The minute hand moves at 6 dpm) Difference or angle between the hands = 240 - 80 = 160°
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