{"id":650,"date":"2019-02-10T12:06:22","date_gmt":"2019-02-10T17:06:22","guid":{"rendered":"http:\/\/josmfs.net\/?p=650"},"modified":"2024-04-14T17:41:08","modified_gmt":"2024-04-14T21:41:08","slug":"more-pool","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/02\/10\/more-pool\/","title":{"rendered":"More Pool"},"content":{"rendered":"

\"\"This is another UKMT Senior Challenge problem, this time from 2006.<\/p>\n

\u201cA toy pool table is 6 feet long and 3 feet wide. It has pockets at each of the four corners P, Q, R, and S. When a ball hits a side of the table, it bounces off the side at the same angle as it hit that side. A ball, initially 1 foot to the left of pocket P, is hit from the side SP towards the side PQ as shown. How many feet from P does the ball hit side PQ if it lands in pocket S after two bounces?\u201d<\/p>\n

Pool Partiers<\/a> should have no difficulty solving this.<\/p>\n

Answer<\/a>.<\/p>\n

See More Pool<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"

This is another UKMT Senior Challenge problem, this time from 2006. \u201cA toy pool table is 6 feet long and 3 feet wide. It has pockets at each of the four corners P, Q, R, and S. When a ball hits a side of the table, it bounces off the side at the same angle […]<\/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":[83],"class_list":["post-650","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-ukmt-challenge"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/650","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=650"}],"version-history":[{"count":5,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/650\/revisions"}],"predecessor-version":[{"id":3899,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/650\/revisions\/3899"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=650"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=650"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=650"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}