SOLUTION: A train goes past you in 10 seconds and goes past a 100 meter long bridge in 30 seconds. What is the length (in meters) and the speed (inm/s) of the train?

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Question 1161836: A train goes past you in 10 seconds and goes past a 100 meter long bridge in 30 seconds. What is the length (in meters) and the speed (inm/s) of the train?
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
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Let d be the length of the train.


Then from the condition, the speed of the train is  v = d%2F10 meters per second.


The equation regarding moving over the bridge is


    30*v = 100 + d.


Substitute  here  v = d%2F10  and then solve for d


    30%2A%28d%2F10%29 = 100 + d

    3d = 100 + d

    2d = 100

     d = 100/2 = 50 meters is the length of the train.   ANSWER


And its speed is then  50%2F10 = 5 m/s.                      ANSWER

Solved.

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To see many similar solved problems, look into 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
    - A man crossing a bridge and a train coming from behind
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".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.