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Two Men Meet

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A square walled city measures 10 li on each side.  At the center of each side is a gate.  Two persons start walking from the center of the city.  One walks out the south gate, the other the east gate.  The man walking south proceeds an unknown number of pu then turns and continues until he meets the eastward traveler.  The ratio of the speeds for the southward and eastward travelers is 5:3.  How many pu did each walk before they met? [1 li= 300 pu]

China, 100 BCE

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