To answer this question, let's analyze each statement individually:
Statement A: The length of the track is 1200 meters.
This statement provides information about the length of the circular track. However, it does not provide any information about the speeds or positions of A and B. Therefore, this statement alone is not sufficient to answer the question.
Statement B: Relative speed is 1 m/s and individual speeds are natural numbers.
This statement provides information about the relative speed between A and B, which is 1 m/s. It also states that the individual speeds of A and B are natural numbers. However, it does not provide any information about the length of the track or the initial positions of A and B. Therefore, this statement alone is not sufficient to answer the question.
Now, let's consider both statements together:
When A and B meet for the first time, it means that they complete one full revolution around the circular track. The difference between the distance traversed by A and B will depend on their individual speeds and the length of the track.
If we know the length of the track (Statement A) and the relative speed between A and B (Statement B), we can calculate the individual speeds of A and B and determine the difference in the distance they traverse.
Therefore, the question can be answered by taking both statements together. Thus, the correct answer is (C) the question can be answered by taking both statements together.