Find the angle between the hands of a clock when the time is 3.25.

60^{o}

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47 {\frac{1}{2}}^{o}

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52 {\frac{1}{2}}^{o}

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55 {\frac{1}{2}}^{o}

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Solution

The correct option is B $47 {\frac{1}{2}}^{o}$
At 3 O'clock, Minute hand is at 12 while the Hour hand is at 3. Again the minute hand has to sweep through $30 \times 5$ ie $150^{\circ}$ for reaching the figure 5 to show 25 mins.
Simultaneously the Hour hand will also rotate for 25 mins. Thus starting from the mark, 3 the hour hand will cover an angle = $\frac{25 \times 30}{60} = {12.5}^{\circ}$
Hence, angle between Hour and the Minute hand = $(60 - 12.5) = {47.5}^{\circ}$

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