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 . 89

Sprinters A, B and C traverse their respective paths at uniform speeds of u, v and w respectively. It is known that u² : v² : w² is equal to Area A : Area B : Area C, where Area A, Area B and Area C are the areas of triangles A1 A2 A3 , B1 B2 B3 and C1 C2 C3 , respectively. Where would A and C be when B reaches point B3 ?