{"id":3331,"date":"2023-09-23T13:40:23","date_gmt":"2023-09-23T17:40:23","guid":{"rendered":"https:\/\/josmfs.net\/?p=3331"},"modified":"2024-04-05T12:39:24","modified_gmt":"2024-04-05T16:39:24","slug":"storm-chaser-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2023\/09\/23\/storm-chaser-problem\/","title":{"rendered":"Storm Chaser Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-3329\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/09\/Storm-Chaser-Fig2.jpg\" alt=\"\" width=\"250\" height=\"139\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/09\/Storm-Chaser-Fig2.jpg 500w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/09\/Storm-Chaser-Fig2-300x166.jpg 300w\" sizes=\"auto, (max-width: 250px) 100vw, 250px\" \/>This is a somewhat challenging problem from the 1997 American Invitational Mathematics Exam (AIME).<\/p>\n<p>\u201cA car travels due east at 2\/3 miles per minute on a long, straight road. At the same time, a circular storm, whose radius is 51 miles, moves southeast at \u221a2\/2 miles per minute. At time <em>t<\/em> = 0, the center of the storm is 110 miles due north of the car. At time <em>t = t<\/em><sub>1<\/sub> minutes, the car enters the storm circle, and at time <em>t = t<\/em><sub>2<\/sub> minutes, the car leaves the storm circle. Find (<em>t<\/em><sub>1<\/sub>\u00a0+\u00a0<em>t<\/em><sub>2<\/sub>)\/2.\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Storm-Chaser-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/09\/Storm-Chaser-Problem-230824.pdf\">Storm Chaser Problem<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a somewhat challenging problem from the 1997 American Invitational Mathematics Exam (AIME). \u201cA car travels due east at 2\/3 miles per minute on a long, straight road. At the same time, a circular storm, whose radius is 51 miles, moves southeast at \u221a2\/2 miles per minute. At time t = 0, the center [&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":[238,81],"class_list":["post-3331","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-aime","tag-travel-puzzles"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3331","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=3331"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3331\/revisions"}],"predecessor-version":[{"id":3518,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3331\/revisions\/3518"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=3331"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=3331"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=3331"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}