TITLE: Angle between the hour and minute hands at 6:05
QUESTION [15 upvotes]: What is the angle between the hour and minute hands of a clock at 6:05?

I have tried this
Hour Hand:
12 hour = 360°
1 hr = 30°
Total Hour above the Clock is $\frac{73}2$ hours
In Minute Hand:
1 Hour = 360°
1 minutes = 6°
Total Minutes covered by $6\times 5= 30$
$\frac{73}{2} \cdot30-30=345^\circ$ Is it Correct?

REPLY [7 votes]: Your approach is correct, but the hour is $6+\frac{5}{60}=\frac{73}{12}$, not $\frac{73}{2}$. 
This yields an angle of $\frac{73}{12}\cdot30^\circ$ for the hour hand, and $6^\circ\cdot 5=30^\circ$ for the minute hand.
Thus the end result is $\frac{73}{12}\cdot30^\circ-30^\circ=152.5^\circ$