{"id":4455,"date":"2025-07-05T08:53:01","date_gmt":"2025-07-05T12:53:01","guid":{"rendered":"https:\/\/josmfs.net\/?p=4455"},"modified":"2025-07-05T08:53:01","modified_gmt":"2025-07-05T12:53:01","slug":"sheep-in-garden-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2025\/07\/05\/sheep-in-garden-problem\/","title":{"rendered":"Sheep in Garden Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-4452\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/07\/Sheep-in-Garden-Fig2.jpg\" alt=\"\" width=\"201\" height=\"173\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/07\/Sheep-in-Garden-Fig2.jpg 408w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/07\/Sheep-in-Garden-Fig2-300x258.jpg 300w\" sizes=\"auto, (max-width: 201px) 100vw, 201px\" \/>This is a slightly challenging <a href=\"https:\/\/medium.com\/math-games\/in-a-square-garden-abcd-of-side-10m-a-sheep-sets-off-from-b-and-moves-along-bc-at-30cm-per-minute-54006628adc4\">problem<\/a> from BL\u2019s Math Games.<\/p>\n<p>\u201cIn a square garden ABCD of side 10m, a sheep sets off from B and moves along BC at 30cm per minute.\u00a0 At the same time, you set off from C and move along edge CD at 40cm per minute.\u00a0 The question is, what\u2019s the shortest distance between you and the sheep in meters?<\/p>\n<p>This is somewhat an optimization problem because as you and the sheep move along the sides of the square at different rates, the distance in between varies as you can imagine.\u201d<\/p>\n<p>There\u2019s at least one non-calculus solution and of course one calculus solution.<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/07\/Sheep-in-Garden-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/07\/Sheep-in-Garden-250504.pdf\">Sheep in Garden Problem<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a slightly challenging problem from BL\u2019s Math Games. \u201cIn a square garden ABCD of side 10m, a sheep sets off from B and moves along BC at 30cm per minute.\u00a0 At the same time, you set off from C and move along edge CD at 40cm per minute.\u00a0 The question is, what\u2019s the [&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":[274,153,31],"class_list":["post-4455","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-bl-puzzles","tag-optimization","tag-vectors"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4455","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=4455"}],"version-history":[{"count":1,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4455\/revisions"}],"predecessor-version":[{"id":4456,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4455\/revisions\/4456"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4455"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4455"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4455"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}