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A and B are running around a circular track in opposite direction. They meet at a point 450 m from the starting point and continue running. They now meet at a point 300 m from the starting point, but in the opposite direction as before. What is the length of the track?

A.	1400 m	B.	1300 m
C.	1200m	D.	1210m

Answer and Explanation

Answer:1200m

Explanation:
Let S be the starting point of the race. A and B run at speeds of
=> Sa and Sb. A is the point where A and B meet for the first time and B is the point where A and B meet the second time.
=> When they meet, A and B cover different distances in the same time. So, the ratio of the distances covered is the same as the ratio of their speed.
=> So, Sa/Sb = 450 / (300 + X) = X/750. Solving this equation, we get X = 450 m
The length of the track is 450 + 450 + 300 = 1200 m

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