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### Train Overtaking Another Train

```
Date: 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/
```
Associated Topics:
Middle School Algebra
Middle School Word Problems

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