SOLUTION: 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 p

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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.
Please help me with this question ' cause i am in rush. Thank you.

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
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.
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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%2F%2820%2B15%29 seconds, where L is the length of the goods train. 

So, your equation is 

L%2F35 = 8,

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

Answer.  The length of the goods train is 280 m.

Solved.

For many other similar and closely related Travel and Distance problems see the lessons
    - A train passing a telegraph post and passing a bridge
    - A train passing a platform
    - A train passing through a tunnel
    - A light-rail train passing a walking person
    - A train passing another train
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

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


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.