Shan Shan starts off from city A and cycles at a speed of 100m/min towards city B. At the same time, Tze Ming and Siu Ying starts off from city B and cycle towards city A at 80m/min and 75m/min respectively. If Shan Shan meets Siu Ying 6 minutes after she has met Tze Ming, find the distance between the cities A and B.
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