{"id":2961,"date":"2022-11-19T07:50:24","date_gmt":"2022-11-19T12:50:24","guid":{"rendered":"https:\/\/josmfs.net\/?p=2961"},"modified":"2024-04-06T09:44:55","modified_gmt":"2024-04-06T13:44:55","slug":"the-staircase-race","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2022\/11\/19\/the-staircase-race\/","title":{"rendered":"The Staircase Race"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-2959\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/11\/Staircase-Race-Fig2.jpg\" alt=\"\" width=\"200\" height=\"198\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/11\/Staircase-Race-Fig2.jpg 405w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/11\/Staircase-Race-Fig2-300x296.jpg 300w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/11\/Staircase-Race-Fig2-150x150.jpg 150w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>This is a classic type of puzzle from Henry Dudeney.<\/p>\n<p>\u201cThis is a rough sketch of the finish of a race up a staircase in which three men took part. Ackworth, who is leading, went up three steps at a time, as arranged; Barnden, the second man, went four steps at a time, and Croft, who is last, went five at a time. Undoubtedly Ackworth wins. But the point is, how many steps are there in the stairs, counting the top landing as a step?<\/p>\n<p>I have only shown the top of the stairs. There may be scores, or hundreds, of steps below the line. It was not necessary to draw them, as I only wanted to show the finish. But it is possible to tell from the evidence the fewest possible steps in that staircase. Can you do it?\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Staircase-Race-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/11\/Staircase-Race-210618.pdf\">Staircase Race<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a classic type of puzzle from Henry Dudeney. \u201cThis is a rough sketch of the finish of a race up a staircase in which three men took part. Ackworth, who is leading, went up three steps at a time, as arranged; Barnden, the second man, went four steps at a time, and Croft, [&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":[28],"class_list":["post-2961","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-henry-dudeney"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2961","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=2961"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2961\/revisions"}],"predecessor-version":[{"id":3583,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2961\/revisions\/3583"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=2961"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=2961"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=2961"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}