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.
Sprinter A traverses distance A1A2, A2A3and A3A1at average speeds of 20, 30 and 15 respectively. B traverses her entire path at a uniform speed of. C traverses distances C1C2, C2C3and C3C1at 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?
A B1, C1
B B3, C3
C B1, C3
D B1, somewhere between C3and C1
Time taken by A =
Therefore, B and C will also travel for time
Now the speed of B =
Therefore the distance covered =
= B1B2+ B2B3+ B3B1
∴ B will be at B1.
Now the time taken by C for each distance is
We can observe that time taken for C1C2and C2C3combined is , which is same as the time taken by A. Therefore, C will be at C3.