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Two trains of lengths 200m and 100m if moving in same direction takes 30 sec to cross. If moving in opposite directions take 20 sec.  What are the speeds of the trains?
22.5 m/s and 7.5 m/s




  
Total Answers and Comments: 17 Last Update: June 28, 2008   
  
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 Best Rated Answer
Submitted by: AG KANNAN
 

          distance=time*speed

         when two trains are going in the same direction

             speed of the two trains=300/30=10m/s ------>(1)

          when two trains are going in the opposite direction

              speed of the two trains=(200-100)/20=5m/s------>(2)

       from the eqn 1&2

               a+b=10

               a-b=5      ans is a=7.5m/s,b=2.5m/s



Above answer was rated as good by the following members:
wipro_written, janumaddu
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January 19, 2006 00:55:33   #1  
ashubha mishra        

RE: Two trains of lengths 200m and 100m if moving in ...

trains r moving in same direction so their crossing length will be 200-100 100m.so the crossing velocity will be100/30 33.3s


 
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January 19, 2006 01:49:52   #2  
chandra sekhar        

RE:
time taken to cross to trains when moving in same directionis (200+100)/(a-b) 30in opposite directions (200+100)/(a+b) 20a-b 10a+b 15a 12.5 and b 7.5
 
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February 26, 2006 09:38:37   #3  
gt_hotin Member Since: February 2006   Contribution: 1    

RE: Two trains of lengths 200m and 100m if moving in ...

l1 200;

spped of l1 be v1;

l2 100;

speed of l2 be v2;

200/v1+100/v2 30;

200/v1-100/v2 20;

hence

v1 8 and v2 20


 
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March 06, 2006 06:19:25   #4  
sridhar        

RE: Two trains of lengths 200m and 100m if moving in ...

200+100/(a-b) 20; a-b 15;

200+100/(a+b) 10; a+b 30;

therefore a 22.5 b 7.5


 
Is this answer useful? Yes | NoAnswer is useful 1   Answer is not useful 0Overall Rating: +1    
June 19, 2006 02:58:13   #5  
vkparthipan        

RE: Two trains of lengths 200m and 100m if moving in ...

time taken to cross to trains when moving in same directionis

so u have to add two sppeeds(200+100)/(a-b) 30in

opposite directions so u have to subtract the two speds(200+100)/(a+b) 20a-b 10a+b 15a 12.5 and b 7.5

guys don t confuse thi s is correct one..........


 
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July 21, 2006 01:58:57   #6  
ankur kohli        

RE: Two trains of lengths 200m and 100m if moving in ...

wen moving in same direction

300 (x+y)30

in opp direction

300 (x-y)20

on solving for x and y v get

x 12.5 y 2.5


 
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July 22, 2006 06:34:54   #7  
srinivas        

RE: Two trains of lengths 200m and 100m if moving in ...

d1 200

d2 100

if they r in same direction then relative speed is (200-100)/30 10/3 3.33

if they r in opposite direction then relative speed is (200+100)/20 300/20 15


 
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August 15, 2006 02:30:28   #8  
AG KANNAN        

RE: Two trains of lengths 200m and 100m if moving in ...

distance time*speed

when two trains are going in the same direction

speed of the two trains 300/30 10m/s ------>(1)

when two trains are going in the opposite direction

speed of the two trains (200-100)/20 5m/s------>(2)

from the eqn 1&2

a+b 10

a-b 5 ans is a 7.5m/s b 2.5m/s


 
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September 04, 2006 14:15:29   #9  
Kripal        

RE: Two trains of lengths 200m and 100m if moving in ...

Let Length of train 1 L1 200m Length of train 2 L2 100m

Let Speed of train 1 V1 ? Speed of train 2 V2 ?

Dont confuse with the total crossing length. Its always (200+100 300m). You can easily visualize it supposing one of the trains is not moving.

Now

Relative velocity of train 1 w.r.t train 2 when moving in same direction V1-V2 300/30 10 m/s

Relative velocity of train 1 w.r.t. train 2 when moving in opposite direction V1+V2 300/20 15 m/s

Solving for V1 & V2

we get V1 25/2 m/s 45Km/hr & V2 5/2 m/s 9Km/hr


 
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December 29, 2006 08:45:13   #10  
ramraj meena        

RE: Two trains of lengths 200m and 100m if moving in ...
guys.....its very simple quest.....i don't know y u confusing so much.........as ankur kohli solved is rightanswer 12.5 and 2.2
 
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