Time Distance L1

Two persons, A and B are running on a circular track. At the start, B is ahead of A and their positions make an angle of 30° at the centre of the circle. When A reaches the point diametrically opposite to his starting point, he meets B. What is the ratio of speeds of A and B, if they are running with uniform speeds?

  1. 6 : 5
  2. 4 : 3
  3. 6 : 1
  4. 4 : 2

Answer

Speed = Distance / Time

Time travelled is same for both A and B.

Distance travelled by A = πr

Distance travelled by B = πr - πr/6 = 5πr/6

Required ratio = 6 : 5   

The correct option is A.