A and B are running around a circular track in opposite directions. They meet at a point 550 m from the starting point and continue running. Now, they meet at a point 350 m from the starting point, but in opposite directions as before. What is the length of the circular track?

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Solution

Let the distance between the first and the second meeting points be x.

Now, for the first meet, A will travel 550 metres and B will travel (x + 350) m.

Now, keeping the first meet as the starting point, A will cover x m and B will cover 550 + 350 = 900 m.

If we see carefully, A will cover the same distance every time; thus, x = 550

Hence, length of the track = 350 + 550 + 550

= 1450 m
Hence, 1450 is the correct answer.

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