Question

At what time are the hands of the clocks together between $6and7$ ?

• A. $32\frac{8}{11}\text{minutes past 6}$
• B. $34\frac{8}{11}\text{minutes past 6}$
• C. $30\frac{8}{11}\text{minutes past 6}$
• D. $32\frac{5}{7}\text{minutes past 6}$

Answer 1

The correct option is A $32\frac{8}{11}\text{minutes past 6}$

$\text{Angle difference}\left(\theta \right)=\left|\frac{11}{2}min-30\times H\right|$

$\theta =0,H=6,min=?$

$\Rightarrow 0=30\times 6-\frac{11}{2}min$

$\therefore min=32\frac{8}{11}$