tag:blogger.com,1999:blog-5730391.post267896138048072890..comments2019-07-16T16:56:01.620-07:00Comments on Blaine's Puzzle Blog: Catch That Bus!Blainehttp://www.blogger.com/profile/06379274325110866036noreply@blogger.comBlogger9125tag:blogger.com,1999:blog-5730391.post-70922792334080873722008-07-06T07:58:00.000-07:002008-07-06T07:58:00.000-07:00Here's how I solved it. The slow bus takes 165 min...Here's how I solved it. The slow bus takes 165 minutes. The fast bus takes 100 minutes. The slow bus has a 39 minute headstart.<BR/><BR/>Take T to be the number of minutes since the *fast* bus left. After T minutes it will be T/100 of the way to Baytree. Accounting for the headstart, the slow bus will be (T+39)/165 of the way to Baytree. Now you can find the point where they have covered the same fraction of the distance by equating these:<BR/><BR/>T/100 = (T+39)/165<BR/><BR/>Cross multiply and you have:<BR/>165T = 100(T+39)<BR/>165T = 100T + 3900<BR/>165T - 100T = 3900<BR/>65T = 3900<BR/>T = 3900/65<BR/>T = 60<BR/><BR/>In other words, 60 minutes after the fast bus leaves, it will have covered 60/100 (3/5) the distance and caught up with the slow bus.<BR/><BR/><I>(Note: you can also solve this for the number of minutes since the slow bus left in which case you get T = 99 as the offset from the time the *slow* bus started.)</I><BR/><BR/>Answer:<BR/>11:00 amBlainehttps://www.blogger.com/profile/06379274325110866036noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-54905992794043552142008-07-04T10:27:00.000-07:002008-07-04T10:27:00.000-07:00This comment has been removed by the author.Mandyhttps://www.blogger.com/profile/14139505187498448200noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-80692498202661090092008-07-03T15:56:00.000-07:002008-07-03T15:56:00.000-07:00A correct answer has been posted by HappySteve...A correct answer has been posted by HappySteve...Blainehttps://www.blogger.com/profile/06379274325110866036noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-74088056568721293352008-07-03T14:26:00.000-07:002008-07-03T14:26:00.000-07:00When will you give the solution to the Catch That ...When will you give the solution to the Catch That Bus puzzle? I think I have the correct answer but do not want to post it is respect for others still solving it.Mandyhttps://www.blogger.com/profile/14139505187498448200noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-77604905628141600092008-07-03T10:48:00.000-07:002008-07-03T10:48:00.000-07:00I don't have an e-mail distribution when I post, b...I don't have an e-mail distribution when I post, but you can subscribe to the RSS feed. Unfortunately you'll get the NPR posts too, but just ignore them if you like.<BR/><BR/>I don't prohibit spoilers in my puzzles, but it seems like people are good about trying to wait a few days before posting an outright answer. And you can always just not read the comments.Blainehttps://www.blogger.com/profile/06379274325110866036noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-20977887757507164262008-07-03T09:42:00.000-07:002008-07-03T09:42:00.000-07:00Bummer. I wish I hadn't read those Posts. I was ...Bummer. I wish I hadn't read those Posts. I was so close as I had 39/65 and 26/65 written down (but no reduced) and I knew they would get me to the proper offset but I hadn't 100% settled on how to apply them. Now I know where my logic should have lead me but now I can never be sure. So it goes. Maybe next time.<BR/><BR/>Blaine: Do you have a distro list set up to inform others when you put up a new puzzler (other than Cartalk and WESUN ones, I catch them via Broadcast). If you do, I'd love to be on it. I promise not to post any premature spoilers again!gregdavidhttps://www.blogger.com/profile/13511045845739028402noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-7931759131913131952008-07-02T11:24:00.000-07:002008-07-02T11:24:00.000-07:00Oops! heh, 99 minutes from the wrong bus. 11 am....Oops! heh, 99 minutes from the wrong bus. <BR/><BR/>11 am. :)Happy Stevehttps://www.blogger.com/profile/04548800864932721392noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-84942077615716686332008-07-02T10:46:00.000-07:002008-07-02T10:46:00.000-07:00Your offset is correct, and your proportion is cor...Your offset is correct, and your proportion is correct, but you made one minor error.Blainehttps://www.blogger.com/profile/06379274325110866036noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-45832889375214554582008-07-02T08:58:00.000-07:002008-07-02T08:58:00.000-07:0011:39am by my calculationsmeeting at exactly 3/5 o...11:39am by my calculations<BR/>meeting at exactly 3/5 of the way to BaytreeHappy Stevehttps://www.blogger.com/profile/04548800864932721392noreply@blogger.com