Consider three circular parks of equal size with centres 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, B1B2B3 and C1C2C3 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.
Sprinter A traverses distance 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. C traverses distances C1 C2, C2 C3 and C3 C1 at an average speed of and 120 respectively. All speeds are in the same unit. Where would B and C be respectively when A finishes her sprint?