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Adam and Bob are running on a circular track of circumference 1500 m. They start simultaneously from point A in the same direction. Ratio of their speeds is 5:3 respectively. If they keep running , then at how many different points can they meet?

a)Two b)One c)Three d)Data Insufficient

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    So, are these runners running forever? Is that what you mean by "keep running"?2012-07-25

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Hint: convert $1500\ m \rightarrow 2\pi$ and work some trigonometric magic. The two runners meet when the difference in their phases ($5t-3t$) is a multiple of $2\pi$. You still have to find all positions, however...

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    -1. No trigo$n$ometry is needed to solve t$h$is problem. No Greek letters either. Let's not over-complicate.2012-07-25
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Adam and Bob meet when Adam is ahead by an integer number of laps. When Bob has run 3 laps, Adam has run 5 and they both meet back at the starting location. The question is where do they meet when Adam is one lap ahead?