tag:blogger.com,1999:blog-5730391.post3689729063663019950..comments2018-05-20T12:08:58.469-07:00Comments on Blaine's Puzzle Blog: Friday Fun - Cycling on the BridgeBlainehttp://www.blogger.com/profile/06379274325110866036noreply@blogger.comBlogger10125tag:blogger.com,1999:blog-5730391.post-23196073904200916372008-08-11T10:29:00.000-07:002008-08-11T10:29:00.000-07:00(Slaps forehead) Duh...thanks Blaine(Slaps forehead) Duh...thanks BlaineRalph Loizzohttps://www.blogger.com/profile/16194974915716525500noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-51540165203386325652008-08-10T01:11:00.000-07:002008-08-10T01:11:00.000-07:00At the first meeting, together they went a distanc...At the first meeting, together they went a distance of 1 bridge length. At the second meeting, together they went a distance of 3 bridge lengths. Thus the proportion cycled by each is 1 to 3.Blainehttps://www.blogger.com/profile/06379274325110866036noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-62301348978118796382008-08-09T11:28:00.000-07:002008-08-09T11:28:00.000-07:00"So at the end he will have cycled three times thi..."So at the end he will have cycled three times this distance or 6,000 feet."<BR/><BR/>I'm not sure I understand why we can multiply 2000 x 3. Can you explain this further....?<BR/><BR/>I definitely did it the "hard" way.Ralph Loizzohttps://www.blogger.com/profile/16194974915716525500noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-36446534912242530782008-08-08T17:19:00.000-07:002008-08-08T17:19:00.000-07:00The Steven Wright quote is, "I have a map of the U...The Steven Wright quote is, "I have a map of the United States... actual size. It says, Scale: 1 mile = 1 mile. I spent last summer folding it."<BR/><BR/><B>Solution:</B><BR/>When they first meet, together they have travelled the full length of the bridge. They continue to the opposite ends, for a total of two bridge lengths. Finally they turn around and meet again for a total of 3 bridge lengths. On the first leg, the slower cyclist has gone 2,000 feet. So at the end he will have cycled three times this distance or 6,000 feet. Subtracting the 720 feet he has cycled on the return trip leaves a bridge length of 5,280 feet (or exactly 1 mile).<BR/><BR/><B>Answer:</B><BR/>The bridge is exactly 1 mile long.Blainehttps://www.blogger.com/profile/06379274325110866036noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-5504821675967020672008-08-07T10:46:00.000-07:002008-08-07T10:46:00.000-07:00might take me all summermight take me all summerRalph Loizzohttps://www.blogger.com/profile/16194974915716525500noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-90356020256657905542008-08-06T14:16:00.000-07:002008-08-06T14:16:00.000-07:00Good luck folding that map back up! :-)Good luck folding that map back up! :-)Blainehttps://www.blogger.com/profile/06379274325110866036noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-26952072495123562692008-08-06T13:58:00.000-07:002008-08-06T13:58:00.000-07:00It is! Fantastic!It is! Fantastic!Ralph Loizzohttps://www.blogger.com/profile/16194974915716525500noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-77263657177840036122008-08-06T12:03:00.000-07:002008-08-06T12:03:00.000-07:00If it is the joke about a map, then I think you ha...If it is the joke about a map, then I think you have the right answer.Blainehttps://www.blogger.com/profile/06379274325110866036noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-12523534991114928162008-08-06T11:55:00.000-07:002008-08-06T11:55:00.000-07:00I think I may have the correct answer, but my math...I think I may have the correct answer, but my math may be wrong. This problem makes me think of a Steven Wright joke.Ralph Loizzohttps://www.blogger.com/profile/16194974915716525500noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-63878360354706773262008-08-02T17:19:00.000-07:002008-08-02T17:19:00.000-07:00Well, I had to do it "the hard way" in order to wo...Well, I had to do it "the hard way" in order to work backwards to discover "the elegant way". Even the hard way was pretty mild though; just had to deal with 3 variables and a generous number of equations with which solve those 3 variables.Kevinhttps://www.blogger.com/profile/16166996163671225643noreply@blogger.com