Comments on: When will two runners moving in different directions meet at the same point? http://www.murunner.com/runners/when-will-two-runners-moving-in-different-directions-meet-at-the-same-point Mon, 30 Aug 2010 02:05:51 -0400 http://wordpress.org/?v=2.8.4 hourly 1 By: Felix http://www.murunner.com/runners/when-will-two-runners-moving-in-different-directions-meet-at-the-same-point/comment-page-1#comment-3 Felix Wed, 23 Sep 2009 01:56:59 +0000 http://www.murunner.com/runners/when-will-two-runners-moving-in-different-directions-meet-at-the-same-point#comment-3 Well, this is really a d = rt problem, where you can add your rates to the total distance. So, you know the first rate will be 9t, and the second 8t. You don't know the individual distances for the runners, but you know the combined distance will be 11. So you can add your rt's to get 17t = 11, so t = 11/17. Therefore, when they meet, the second runner will have run 11/17(8) km = approx. 5.1765 km. So, if he starts out 5 km due east of the flagpole, he will be 5.1765 - 5 = .1765 km west of the flagpole. Hope this helps, Felix<br><b>References : </b><br> Well, this is really a d = rt problem, where you can add your rates to the total distance. So, you know the first rate will be 9t, and the second 8t. You don’t know the individual distances for the runners, but you know the combined distance will be 11. So you can add your rt’s to get 17t = 11, so t = 11/17. Therefore, when they meet, the second runner will have run 11/17(8) km = approx. 5.1765 km. So, if he starts out 5 km due east of the flagpole, he will be 5.1765 – 5 = .1765 km west of the flagpole. Hope this helps,

Felix
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