{"id":2100,"date":"2021-04-24T10:25:09","date_gmt":"2021-04-24T14:25:09","guid":{"rendered":"https:\/\/josmfs.net\/?p=2100"},"modified":"2024-04-07T18:57:09","modified_gmt":"2024-04-07T22:57:09","slug":"moving-up","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2021\/04\/24\/moving-up\/","title":{"rendered":"Moving Up"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-2098\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/04\/Moving-Up-Fig2.jpg\" alt=\"\" width=\"212\" height=\"159\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/04\/Moving-Up-Fig2.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/04\/Moving-Up-Fig2-300x225.jpg 300w\" sizes=\"auto, (max-width: 212px) 100vw, 212px\" \/>Here is a simple problem from an old <em><a href=\"http:\/\/www.futilitycloset.com\/2014\/06\/28\/moving-up\/\">Futility Closet<\/a><\/em> posting.<\/p>\n<p>\u201cMy wife and I walk up an ascending escalator. I climb 20 steps and reach the top in 60 seconds. My wife climbs 16 steps and reaches the top in 72 seconds. If the escalator broke tomorrow, how many steps would we have to climb?\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Moving-Up-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/04\/Moving-Up-210422.pdf\">Moving Up<\/a> for solutions.<\/p>\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Here is a simple problem from an old Futility Closet posting. \u201cMy wife and I walk up an ascending escalator. I climb 20 steps and reach the top in 60 seconds. My wife climbs 16 steps and reaches the top in 72 seconds. If the escalator broke tomorrow, how many steps would we have to [&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":[133,16,81],"class_list":["post-2100","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-algebra","tag-futility-closet","tag-travel-puzzles"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2100","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=2100"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2100\/revisions"}],"predecessor-version":[{"id":3689,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2100\/revisions\/3689"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=2100"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=2100"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=2100"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}