Previous Year Paper
CAT-2003-Previous Years Paper
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.
Sprinters A, B and C traverse their respective paths at uniform speeds of u, v and w respectively. It is known that u2:v2:w2is equal to Area A:Area B: Area C, where Area A, Area B and Area C are the areas of triangles A1A2A3, B1B2B3, and C1C2C3respectively. Where would A and C be when B reaches point B3?
A A2, C3
B A3, C3
C A3, C2
D Some where between A2and A3, somewhere between C3and C1
In similar triangles, the ratio of the area = ratio of the squares of the corresponding sides.
Hence, A and C reach A3and C3respectively.