Train Overtaking Another TrainDate: 10/19/96 at 18:27:27 From: Paul Rich Subject: Train Overtakes Other Train A freight train leaves a station at 4:00 p.m. traveling at 30 m.p.h. A passenger train leaves 1 hour later traveling at 50 m.p.h. At what time will the passenger train overtake the freight train? Thank you, Paul Date: 10/20/96 at 11:10:51 From: Doctor Anthony Subject: Re: Train Overtakes Other Train Let t = time that freight train travels t-1 = time that passenger train travels They cover the same distance, and using dist = speed x time we have 50(t-1) = 30t 50t - 50 = 30t 20t = 50 t = 5/2 = 2.5 hours The trains pass at 6:30 p.m. -Doctor Anthony, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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