Question

At what time between $\text{8 a.m. and 9 a.m.,}$ will the hands of a clock be in the same straight line but not together.

• A. $10\frac{10}{11}\text{minutes past 8}$
• B. $11\frac{12}{10}\text{minutes past 9}$
• C. $12\frac{11}{10}\text{minutes past 10}$
• D. $11\frac{11}{10}\text{minutes past 7}$

Answer 1

The correct option is A $10\frac{10}{11}\text{minutes past 8}$

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

$\theta =180,H=8,min=?$
$\Rightarrow 180=30\times 8-\frac{11}{2}min$
$\therefore min=10\frac{10}{11}$