At what time are the hands of clocks together between 6 and 7?
The hand of the clock together means they have an angle of 0° between them.
Angle between the hour and minute hand = $$|\frac{11}{2}M - 30H|$$
Be/tween 6 and 7, angle between both hands :
=> $$|\frac{11}{2}M - 30*6| = 0$$
=> $$M = \frac{360}{11}$$
=> $$M = 32\frac{8}{11}$$
$$\therefore$$ At $$32\frac{8}{11}$$ minutes past 6, both the hands of the clock are together.
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