TSD Problem

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Two cats named Amy and Pamy simultaneously start running from points A and B respectively towards points B and A respectively with constant speed. On reaching points B and A respectively, they immediately turn back and run towards their start...
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Two cats named Amy and Pamy simultaneously start running from points A and B respectively towards points B and A respectively with constant speed. On reaching points B and A respectively, they immediately turn back and run towards their starting points with same speed. This process continues. On their way, they meet each other at a point 360 m away from A during their first meeting and at a point 400 m away from B in their second meeting. What is the distance of their third meeting point from point B?

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