{"id":13142,"date":"2010-07-04T22:38:30","date_gmt":"2010-07-05T05:38:30","guid":{"rendered":"http:\/\/www.kith.org\/journals\/jed\/2010\/07\/04\/13142.html"},"modified":"2010-07-04T22:38:30","modified_gmt":"2010-07-05T05:38:30","slug":"math-problem-miles-per-gallon","status":"publish","type":"post","link":"https:\/\/www.kith.org\/jed\/2010\/07\/04\/math-problem-miles-per-gallon\/","title":{"rendered":"Math puzzle: Miles per gallon"},"content":{"rendered":"\n<p>I filled up my Prius's gas tank tonight; a while later, on the way home from the East Bay, I noticed that the MPG indicator (showing miles per gallon since the most recent gas-tank fill-up) said I was getting 50 miles per gallon, and the odometer (which appears right next to the MPG indicator) said I had gone 51 miles.<\/p>\n<p><i>Neat<\/i>, I thought to myself. <i>The MPG indicator has nearly caught up to the odometer. I wonder what gas mileage I would need to get in the next few minutes for the MPG indicator to pass the odometer<\/i>&mdash;that is, for the display to show a number on the MPG indicator that's greater than the number showing at the same time on the odometer. (Not just greater than 51; greater than whatever the odometer will say at that future time.)<\/p>\n<p>It didn't take long to figure out the answer, but I think it's kind of a neat puzzle, and thought some of you might enjoy it.<\/p>\n\n","protected":false},"excerpt":{"rendered":"<p>I filled up my Prius&#8217;s gas tank tonight; a while later, on the way home from the East Bay, I&#8230;<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-13142","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.kith.org\/jed\/wp-json\/wp\/v2\/posts\/13142","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.kith.org\/jed\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kith.org\/jed\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kith.org\/jed\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kith.org\/jed\/wp-json\/wp\/v2\/comments?post=13142"}],"version-history":[{"count":0,"href":"https:\/\/www.kith.org\/jed\/wp-json\/wp\/v2\/posts\/13142\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.kith.org\/jed\/wp-json\/wp\/v2\/media?parent=13142"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kith.org\/jed\/wp-json\/wp\/v2\/categories?post=13142"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kith.org\/jed\/wp-json\/wp\/v2\/tags?post=13142"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}