Question

At what time between 3 o’ clock and 4 o’ clock will both the needles of the clock coincide?

• A. 5 1/11 minutes past 3
• B. 27 3/11 minutes from 4
• C. 16 4/11 minutes past 3
• D. 15 4/11 minutes past 3

Answer 1

The correct option is C 16 4/11 minutes past 3

$\Theta =30H-\frac{11}{2}M=0\Rightarrow 30\times 3-\frac{11}{2}\times M=0$
$\Rightarrow M=\frac{180}{11}=16\frac{4}{11}$ minutes past 3