{"id":1408,"date":"2020-01-03T08:59:44","date_gmt":"2020-01-03T13:59:44","guid":{"rendered":"http:\/\/josmfs.net\/?p=1408"},"modified":"2024-04-10T13:14:32","modified_gmt":"2024-04-10T17:14:32","slug":"the-train-buffs","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2020\/01\/03\/the-train-buffs\/","title":{"rendered":"The Train Buffs"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-1413\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/01\/Train-Buffs-Fig.jpg\" alt=\"\" width=\"252\" height=\"52\" \/>Here is another train puzzle, this time from J. A. H. Hunter\u2019s <em>Entertaining Mathematical Teasers<\/em>:<\/p>\n<p>\u201cMike had made the [train] trip many times. \u2018That\u2019s the morning express from Tulla we\u2019re passing,\u2019 he said. \u2018It left Tulla one hour after we pulled out from Brent, but we\u2019re just 25% faster.\u2019 \u2018That\u2019s right, and we\u2019re also passing Cove, two-thirds the distance between Brent and Tulla,\u2019 Martin agreed. \u2018So we\u2019re both right on schedule.\u2019 Obviously a couple of train buffs! Assuming constant speeds and no stops, how long would it be before they reached Tulla?\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Track-Problem-Answer-1.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/01\/Train-Buffs-190309.pdf\">Train Buffs<\/a> for a solution.<\/p>\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Here is another train puzzle, this time from J. A. H. Hunter\u2019s Entertaining Mathematical Teasers: \u201cMike had made the [train] trip many times. \u2018That\u2019s the morning express from Tulla we\u2019re passing,\u2019 he said. \u2018It left Tulla one hour after we pulled out from Brent, but we\u2019re just 25% faster.\u2019 \u2018That\u2019s right, and we\u2019re also passing [&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":[178,79],"class_list":["post-1408","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-j-a-h-hunter","tag-train-puzzles"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1408","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=1408"}],"version-history":[{"count":7,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1408\/revisions"}],"predecessor-version":[{"id":3786,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1408\/revisions\/3786"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1408"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1408"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1408"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}