{"id":4486,"date":"2025-07-26T10:25:03","date_gmt":"2025-07-26T14:25:03","guid":{"rendered":"https:\/\/josmfs.net\/?p=4486"},"modified":"2025-07-26T10:25:03","modified_gmt":"2025-07-26T14:25:03","slug":"two-men-meet","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2025\/07\/26\/two-men-meet\/","title":{"rendered":"Two Men Meet"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-4483\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/07\/Two-Men-Meet-Fig2.jpg\" alt=\"\" width=\"200\" height=\"224\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/07\/Two-Men-Meet-Fig2.jpg 390w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/07\/Two-Men-Meet-Fig2-268x300.jpg 268w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>This is another problem from the c.100AD Chinese mathematical work, <em>Ji\u01d4 zh\u0101ng su\u00e0n sh\u00f9<\/em> (The Nine Chapters on the Mathematical Art) found at the MAA <em>Convergence<\/em> website Convergence.<\/p>\n<p>\u201cA square walled city measures 10 <em>li<\/em> on each side.\u00a0 At the center of each side is a gate.\u00a0 Two persons start walking from the center of the city.\u00a0 One walks out the south gate, the other the east gate.\u00a0 The person walking south proceeds an unknown number of <em>pu<\/em> then turns northeast and continues past the corner of the city until they meet the eastward traveler.\u00a0 The ratio of the speeds for the southward and eastward travelers is 5:3.\u00a0 How many <em>pu<\/em> did each walk before they met? [1 <em>li <\/em>= 300 <em>pu<\/em>]\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/07\/Two-Men-Meet-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/07\/Two-Men-Meet-240625.pdf\">Two Men Meet<\/a> for a solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is another problem from the c.100AD Chinese mathematical work, Ji\u01d4 zh\u0101ng su\u00e0n sh\u00f9 (The Nine Chapters on the Mathematical Art) found at the MAA Convergence website Convergence. \u201cA square walled city measures 10 li on each side.\u00a0 At the center of each side is a gate.\u00a0 Two persons start walking from the center of [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[7,81],"class_list":["post-4486","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-math-history","tag-travel-puzzles"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4486","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=4486"}],"version-history":[{"count":1,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4486\/revisions"}],"predecessor-version":[{"id":4487,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4486\/revisions\/4487"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4486"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4486"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4486"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}