{"id":4469,"date":"2025-07-19T08:59:01","date_gmt":"2025-07-19T12:59:01","guid":{"rendered":"https:\/\/josmfs.net\/?p=4469"},"modified":"2025-07-19T08:59:01","modified_gmt":"2025-07-19T12:59:01","slug":"railway-crossing-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2025\/07\/19\/railway-crossing-problem\/","title":{"rendered":"Railway Crossing Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-4466\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/07\/Railway-Crossing-Fig2.jpg\" alt=\"\" width=\"201\" height=\"163\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/07\/Railway-Crossing-Fig2.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/07\/Railway-Crossing-Fig2-300x244.jpg 300w\" sizes=\"auto, (max-width: 201px) 100vw, 201px\" \/>This is an interesting problem from the 1966 <em>Eureka<\/em> magazine.<\/p>\n<p>\u201cA railway and a road run together for seven miles from P to Q. Two miles from P there is a level crossing, which is closed one minute before, and opened one minute after, a train passes.<\/p>\n<p>A train passes a Stationary car at P and travels on to Q at 60 m.p.h., and, forgetting to slow down, crashes at Q; the car passes the train as it crashes. Assuming that stopping for an instant from full speed loses the car one minute, of what speed must it be capable?\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/07\/Railway-Crossing-Answer.jpg\">Answer<\/a><\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/07\/Railway-Crossing-Problem-240701.pdf\">Railway Crossing Problem<\/a> for a solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is an interesting problem from the 1966 Eureka magazine. \u201cA railway and a road run together for seven miles from P to Q. Two miles from P there is a level crossing, which is closed one minute before, and opened one minute after, a train passes. A train passes a Stationary car at P [&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":[234,81],"class_list":["post-4469","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-eureka-magazine","tag-travel-puzzles"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4469","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=4469"}],"version-history":[{"count":1,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4469\/revisions"}],"predecessor-version":[{"id":4470,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4469\/revisions\/4470"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4469"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4469"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4469"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}