{"id":1462,"date":"2020-02-16T12:18:58","date_gmt":"2020-02-16T17:18:58","guid":{"rendered":"http:\/\/josmfs.net\/?p=1462"},"modified":"2024-04-10T12:33:00","modified_gmt":"2024-04-10T16:33:00","slug":"perpetual-meetings-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2020\/02\/16\/perpetual-meetings-problem\/","title":{"rendered":"Perpetual Meetings Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-1460\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/02\/Perpetual-Meetings-Fig2.jpg\" alt=\"\" width=\"202\" height=\"167\" \/>The following problem from <em>Five Hundred Mathematical Challenges<\/em> was a challenge indeed, even though it appeared to be a standard travel puzzle.<\/p>\n<p>\u201c<strong>Problem 118<\/strong>. Andy leaves at noon and drives at constant speed back and forth from town A to town B. Bob also leaves at noon, driving at 40 km per hour back and forth from town B to town A on the same highway as Andy. Andy arrives at town B twenty minutes after first passing Bob, whereas Bob arrives at town A forty-five minutes after first passing Andy. At what time do Any and Bob pass each other for the nth time?\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Perpetual-Meetings-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/02\/Perpetual-Meetings-Problem-191125.pdf\">Perpetual Meetings Problem<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The following problem from Five Hundred Mathematical Challenges was a challenge indeed, even though it appeared to be a standard travel puzzle. \u201cProblem 118. Andy leaves at noon and drives at constant speed back and forth from town A to town B. Bob also leaves at noon, driving at 40 km per hour back and [&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":[177,133,81],"class_list":["post-1462","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-500-math-challenges","tag-algebra","tag-travel-puzzles"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1462","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=1462"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1462\/revisions"}],"predecessor-version":[{"id":3776,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1462\/revisions\/3776"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1462"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1462"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1462"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}