Q: Two trains run in opposite directions on a circular track. Train A travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point S at the same time, how long, in hours, after the trains depart will they again meet at Point S?\nOptions:\n(A) 3\n(B) 6\n(C) 9\n(D) 18\n(E) 22 Let's give some random thoughts before answering.
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The trains will travel the perimeter of the circle which is 12π miles. The relative speed of the trains is 2π miles per hour. Time taken to meet = 12π/2π = 6 hours
Therefore, the answer is (B).
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