Question

Six persons are situated at the corners of a hexagon of side $l$. They move at a constant speed $v$. Each person maintains a direction towards the person at the next corner. When will the persons meet?

• A. $\frac{l}{v}$
• B. $\frac{2l}{3v}$
• C. $\frac{3l}{2v}$
• D. $\frac{2l}{v}$

Answer 1

The correct option is D $\frac{2l}{v}$

Relative velocity of any two consecutive persons is given as
$V_{AB}=u-uCos60=\frac{u}{2}$
Thus we get the time required as
$Time=\frac{Distance}{Speed}=\frac{2l}{u}$