{"id":2835,"date":"2022-08-20T07:14:26","date_gmt":"2022-08-20T11:14:26","guid":{"rendered":"https:\/\/josmfs.net\/?p=2835"},"modified":"2024-04-06T12:46:15","modified_gmt":"2024-04-06T16:46:15","slug":"mountain-climbing-puzzle","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2022\/08\/20\/mountain-climbing-puzzle\/","title":{"rendered":"Mountain Climbing Puzzle"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-2833\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/08\/Mountain-Climbing-Fig2.jpg\" alt=\"\" width=\"200\" height=\"213\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/08\/Mountain-Climbing-Fig2.jpg 401w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/08\/Mountain-Climbing-Fig2-281x300.jpg 281w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>This puzzle from the Scottish Mathematical Council (SMC) Middle Mathematics Challenge has an interesting twist to it.<\/p>\n<p>\u201cTwo young mountaineers were descending a mountain quickly at 6 miles per hour. They had left the hostel late in the day, had climbed to the top of the mountain and were returning by the same route.\u00a0 One said to the other \u201cIt was three o\u2019clock when we left the hostel. I am not sure if we will be back before nine o\u2019clock.\u201d His companion replied \u201cOur pace on the level was 4 miles per hour and we climbed at 3 miles per hour. We will just make it.\u201d What is the total distance they would cover from leaving the hostel to getting back there?\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Mountain-Climbing-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/08\/Mountain-Climbing-Puzzle-220712.pdf\">Mountain Climbing Puzzle<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This puzzle from the Scottish Mathematical Council (SMC) Middle Mathematics Challenge has an interesting twist to it. \u201cTwo young mountaineers were descending a mountain quickly at 6 miles per hour. They had left the hostel late in the day, had climbed to the top of the mountain and were returning by the same route.\u00a0 One [&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":[221,81],"class_list":["post-2835","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-smc-challenge","tag-travel-puzzles"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2835","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=2835"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2835\/revisions"}],"predecessor-version":[{"id":3603,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2835\/revisions\/3603"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=2835"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=2835"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=2835"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}