Question 1061528
.
A passenger train travels at a speed of 72km/h. A man on the passenger train observes a goods train travelling at a speed 
of 54km/h in the opposite direction . If the goods train passes him in 8 seconds, find the length of the goods train.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


<pre>
The speed of the passenger train is 72 km/h = 20 m/s.

The speed of the goods train is 54 km/h = 15 m/s.

The passenger is moving with the speed 20 m/s + 15 m/s = 35 m/s relative to the goods train (since the trains moves in opposite directions).


Hence, the passenger sees the goods train before his own eyes during {{{L/(20+15)}}} seconds, where L is the length of the goods train. 

So, your equation is 

{{{L/35}}} = 8,

which gives the length of the goods train L = 8*35 = 280 m.

<U>Answer</U>.  The length of the goods train is 280 m.
</pre>

Solved. 


For many other similar and closely related Travel and Distance problems see the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/travel/A-train-passing-a-telegraph-post-and-passing-a-bridge.lesson>A train passing a telegraph post and passing a bridge</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/travel/A-train-passing-a-platform.lesson>A train passing a platform</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/travel/A-train-passing-a-tunnel.lesson>A train passing through a tunnel</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/travel/A-light-rail-train-passing-a-walking-person.lesson>A light-rail train passing a walking person</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/travel/A-train-passing-another-train.lesson>A train passing another train</A> 

in this site.


Also, you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this textbook under the section "<U>Word problems</U>", the topic "<U>Travel and Distance problems</U>".



I understand that you are in rush, but I insistently recommend you to read these lessons. 
It may happen this reading will be the best in your life.