{"id":4441,"date":"2012-08-21T12:49:31","date_gmt":"2012-08-21T17:49:31","guid":{"rendered":"http:\/\/local.gre.web\/blog\/?p=4441"},"modified":"2019-08-30T16:46:21","modified_gmt":"2019-08-30T16:46:21","slug":"the-math-beast-challenge-problem-of-the-week-august-20th-2012","status":"publish","type":"post","link":"https:\/\/www.manhattanprep.com\/gre\/blog\/the-math-beast-challenge-problem-of-the-week-august-20th-2012\/","title":{"rendered":"The Math Beast Challenge Problem of the Week &#8211; August 20th, 2012"},"content":{"rendered":"<p><img decoding=\"async\" src=\"\/\/cdn.manhattanprep.com\/images\/gre\/gre_math_beast(1).png\" alt=\"Math Beast\" class=\"alignleft\">Each week, we post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week&#8217;s drawing for two free Manhattan Prep GRE Strategy Guides.<\/p>\n<blockquote><p>The volume of a chemical solution in a tank is described by the formula\u00a0<img decoding=\"async\" src=\"\/\/cdn.manhattanprep.com\/images\/gre\/gre_cat_images\/volume1.gif\" alt=\"\" \/>, where\u00a0<em>k<\/em>\u00a0is a constant,\u00a0<em>T<\/em>\u00a0is the temperature,\u00a0<em>c<\/em>\u00a0is the concentration of the chemical solution, and\u00a0<em>p<\/em>\u00a0is the atmospheric pressure.\u00a0 The solution in the tank can be either hot or cold.\u00a0 When hot,\u00a0<em>c<\/em>\u00a0is half of what it is when cold,\u00a0<em>p<\/em>\u00a0is double what it is when cold, and\u00a0<em>T<\/em>\u00a0is triple what it is when cold.<\/p>\n<p>If the tank can be no more than\u00a0<img decoding=\"async\" src=\"\/\/cdn.manhattanprep.com\/images\/gre\/gre_cat_images\/volume2.gif\" alt=\"\" \/>\u00a0full when hot for safety reasons, what is the maximum fraction of capacity to which the tank can be filled when the solution is cold?<\/p><\/blockquote>\n<p><!--more--><\/p>\n<p>See the answer choices and submit your pick over on our <a href=\"\/\/www.manhattanprep.com\/gre\/challenge_thisweek.cfm\" target=\"_blank\">Challenge Problem<\/a> page.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Each week, we post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week&#8217;s drawing for two free Manhattan Prep GRE Strategy Guides. The volume of a chemical solution in a tank is described by the formula\u00a0, where\u00a0k\u00a0is a constant,\u00a0T\u00a0is the temperature,\u00a0c\u00a0is the concentration [&hellip;]<\/p>\n","protected":false},"author":12,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"yst_prominent_words":[],"class_list":["post-4441","post","type-post","status-publish","format-standard","hentry","category-challenge-problems"],"_links":{"self":[{"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/posts\/4441","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/users\/12"}],"replies":[{"embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/comments?post=4441"}],"version-history":[{"count":1,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/posts\/4441\/revisions"}],"predecessor-version":[{"id":7050,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/posts\/4441\/revisions\/7050"}],"wp:attachment":[{"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/media?parent=4441"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/categories?post=4441"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/tags?post=4441"},{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/yst_prominent_words?post=4441"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}