When will the fast runner overtake the slower runner on a circular 200-m track?

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To determine when the faster runner overtakes the slower runner on a 200-meter track, calculate the time it takes for the faster runner to complete one additional lap. The faster runner's speed is 6.20 m/s, while the slower runner's speed is 5.50 m/s, resulting in a relative speed difference of 0.70 m/s. The time to close the 200-meter gap is approximately 285.71 seconds. In that time, the faster runner will have covered about 1,771.43 meters, while the slower runner will have run approximately 1,571.43 meters. Thus, the faster runner overtakes the slower runner after about 285.71 seconds, having completed 8.86 laps.
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Two runners start simultaneously from the same point on a circular 200-m track and run in the same direction. One runs at constand speed of 6.20 m/s and the other at a constant speed of 5.50 m/s. When will the fast one overtake("lap") the slower one and how far from the starting point will each have run?

please help thx.

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Show us how you think you should set up the algebra to solve this. Think of it in terms of some number of 200m laps plus a little extra. The faster runner runs one more lap than the slower runner, plus that same extra fraction of a lap (which could be zero if the numbers were set up that way).
 
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