{"id":2633,"date":"2022-03-26T09:51:19","date_gmt":"2022-03-26T13:51:19","guid":{"rendered":"https:\/\/josmfs.net\/?p=2633"},"modified":"2024-04-06T14:53:13","modified_gmt":"2024-04-06T18:53:13","slug":"two-candles","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2022\/03\/26\/two-candles\/","title":{"rendered":"Two Candles"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-2632\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/03\/Two-Candles-Fig2.jpg\" alt=\"\" width=\"109\" height=\"204\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/03\/Two-Candles-Fig2.jpg 260w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/03\/Two-Candles-Fig2-160x300.jpg 160w\" sizes=\"auto, (max-width: 109px) 100vw, 109px\" \/>This is another candle burning problem, presented by <a href=\"https:\/\/mindyourdecisions.com\/blog\/2022\/03\/22\/two-candles-burning-half-the-height\/\">Presh Talwalkar<\/a>.<\/p>\n<p>\u201cTwo candles of equal heights but different thicknesses are lit. The first burns off in 8 hours and the second in 10 hours. How long after lighting, in hours, will the first candle be half the height of the second candle? The candles are lit simultaneously and each burns at a constant linear rate.\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Two-Candles-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/03\/Two-Candles-220325.pdf\">Two Candles<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is another candle burning problem, presented by Presh Talwalkar. \u201cTwo candles of equal heights but different thicknesses are lit. The first burns off in 8 hours and the second in 10 hours. How long after lighting, in hours, will the first candle be half the height of the second candle? The candles are lit [&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":[133,17],"class_list":["post-2633","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-algebra","tag-presh-talwalkar"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2633","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=2633"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2633\/revisions"}],"predecessor-version":[{"id":3632,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2633\/revisions\/3632"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=2633"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=2633"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=2633"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}