Comprehension

Directions for questions: Read the information given below and answer the questions that follow :

Consider three circular parks of equal size with centers at A1 , A2 and A3 respectively. The parks touch each other at the edge as shown in the figure (not drawn to scale). There are three paths formed by the triangles A1A2A3 , B1 B2 B3 and C1 C2 C3 as shown. Three sprinters A, B and C begin running from points A1 , B1 and C1 respectively. Each sprinter traverses her respective triangular path clockwise and returns to her starting point

CAT/2003

Question . 88

Sprinter A traverses distances A1 A2 , A2 A3 and A3 A1 at average speeds of 20, 30 and 15, respectively. B traverses her entire path at a uniform speed of (10 3 + 20). C traverses distances C1 C2 , C2 C3 and C3 C1 at average speeds of 40/3(√3 + 1 ), 40/3(√3 + 1) and 120, respectively. All speeds are in the same unit. Where would B and C be respectively when A finishes her sprint?