{"id":593,"date":"2019-01-30T19:43:09","date_gmt":"2019-01-31T00:43:09","guid":{"rendered":"http:\/\/josmfs.net\/?p=593"},"modified":"2024-04-14T20:22:44","modified_gmt":"2024-04-15T00:22:44","slug":"turnpike-driving","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/01\/30\/turnpike-driving\/","title":{"rendered":"Turnpike Driving"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-3915\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Turnpike-Driving-Fig2.jpg\" alt=\"\" width=\"201\" height=\"134\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Turnpike-Driving-Fig2.jpg 404w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Turnpike-Driving-Fig2-300x200.jpg 300w\" sizes=\"auto, (max-width: 201px) 100vw, 201px\" \/>This turns out to be a fairly challenging driving problem from Longley-Cook.<\/p>\n<p>\u201cMileage on the Thru-State Turnpike is measured from the Eastern terminal. Driver A enters the turnpike at the Centerville entrance, which is at the 65-mile marker, and drives east. After he has traveled 5 miles and is at the 60-mile marker, he overtakes a man operating a white-line painting machine who is traveling east at 5 miles per hour. At the 35-mile marker he passes his friend B, whose distinctive car he happens to spot, driving west. The time he notes is 12:20 p.m. At the 25-mile marker he passes a grass cutter traveling west at 10 miles per hour. A later learns that B overtook the grass cutter at the 21-mile marker and passed the white-line painter at the 56-mile marker. Assuming A, B, the painter and the grass cutter all travel at constant speeds, at what time did A enter the turnpike?\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Turnpike-Driving-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/01\/Turnpike-Driving-190130.pdf\">Turnpike Driving<\/a> for a solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This turns out to be a fairly challenging driving problem from Longley-Cook. \u201cMileage on the Thru-State Turnpike is measured from the Eastern terminal. Driver A enters the turnpike at the Centerville entrance, which is at the 65-mile marker, and drives east. After he has traveled 5 miles and is at the 60-mile marker, he overtakes [&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":[82,81],"class_list":["post-593","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-l-h-longley-cook","tag-travel-puzzles"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/593","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=593"}],"version-history":[{"count":4,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/593\/revisions"}],"predecessor-version":[{"id":3916,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/593\/revisions\/3916"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=593"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=593"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=593"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}