Concept 1 Post 2: Number of Distinct points 3 bodies will meet on a circular track.
Step 1: Find out pairwise distinct meeting points.
Step 2 : The overall answer will be the Highest Common Factor of the pairwise values.
Example: suppose A, B and C are running with speeds of 7, 9 and 13 on a circular track.
A and B are running clockwise, whereas C is running anti-clockwise.
A and B will have 9 - 7 = 2 distinct meeting points.
A and C will have 7 + 13 = 20 distinct meeting points.
B and C will have 9 + 13 = 22 distinct meeting points.
A, B and C will have HCF (2, 20, 22) = 2 distinct meeting points.
They will meet at 2 distinct points on the track.