{"id":1550,"date":"2020-04-11T08:41:39","date_gmt":"2020-04-11T12:41:39","guid":{"rendered":"http:\/\/josmfs.net\/?p=1550"},"modified":"2024-04-09T14:47:12","modified_gmt":"2024-04-09T18:47:12","slug":"calculating-on-the-way","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2020\/04\/11\/calculating-on-the-way\/","title":{"rendered":"Calculating on the Way"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-1548\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/04\/Calculating-on-the-Way-fig.jpg\" alt=\"\" width=\"200\" height=\"213\" \/>In looking through some old files I came across a math magazine I had bought in 1998. It was called <em>Quantum<\/em> and was published by the National Science Teachers Association in collaboration with the Russian magazine <em>Kvant<\/em> during the period 1990 to 2001 (coinciding with the Russian thaw, which in the following age of Putin seems eons ago). Fortunately, they are all online now. Besides some fascinating math articles the magazine contains a column of \u201cBrainteasers.\u201d Here is one of them:<\/p>\n<p>\u201cAlice used to walk to school every morning, and it took 20 minutes for her from door to door. Once on her way she remembered she was going to show the latest issue of <em>Quantum<\/em> to her classmates but had forgotten it at home. She knew that if she continued walking to school at the same speed, she\u2019d be there 8 minutes before the bell, and if she went back home for the magazine she\u2019d arrive at school 10 minutes late. What fraction of the way to school had she walked at that moment in time? (S. Dvorianinov)\u201d<\/p>\n<p>This is fairly straight-forward, but other problems in the magazine are a bit more challenging.<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Calculating-on-the-Way-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/04\/Calculating-on-the-Way-200406.pdf\">Calculating on the Way<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In looking through some old files I came across a math magazine I had bought in 1998. It was called Quantum and was published by the National Science Teachers Association in collaboration with the Russian magazine Kvant during the period 1990 to 2001 (coinciding with the Russian thaw, which in the following age of Putin [&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":[133,194,81],"class_list":["post-1550","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-algebra","tag-quantum-magazine","tag-travel-puzzles"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1550","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=1550"}],"version-history":[{"count":5,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1550\/revisions"}],"predecessor-version":[{"id":3765,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1550\/revisions\/3765"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1550"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1550"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1550"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}