Three persons P, Q, R are at the three comers of an equilateral triangle of each side 1. They start moving simultaneously with velocity v such that Pathways moves towards Q Q always moves towards R and R always moves towards P. After what time they would meet each other at O?

Options

A. `a/v`
B. `(2a)/(v)`
C. `(2a)/(sqrt(3v))`
D. `(2a)/(3v)`

Answer

d

Explanation

The three person follow curvilinear path to meet at the centroid `.O.` of the traingle

Velocity Component with which each moves =`v cos 30^(@)`
`=(vsqrt(3))/(2)`
=`(2a)/(3v)`