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Loci: Convergence

Traveling men

Two men starting from the same point begin walking in different directions. Their rates of travel are in the ratio 7:3.  The slower man walks towards the east.  His faster companion walks to the south a distance of 10 pu and then turns towards an intercept course and proceeds until both men meet. How many pu did each man walk? (China ca. 100 BCE)

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