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Question

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

  1. aV
  2. 2a3V
  3. 2a3V
  4. 2aV


Solution

The correct option is B 2a3V
The three persons follow curvilinear paths to meet at the centroid O of triangle.
Displacement PO=QO=RO=a3

Velocity component along the displacement 
=Vcos30=V32
t=a3V32=2a3V

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