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

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ashubha mishra

  • Jan 19th, 2006
 

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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chandra sekhar

  • Jan 19th, 2006
 

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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sridhar

  • Mar 6th, 2006
 

200+100/(a-b)=20;   a-b=15;

200+100/(a+b)=10;  a+b=30;

therefore a=22.5  b=7.5

vkparthipan

  • Jun 19th, 2006
 

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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ankur kohli

  • Jul 21st, 2006
 

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

srinivas

  • Jul 22nd, 2006
 

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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Kripal

  • Sep 4th, 2006
 

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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ramraj meena

  • Dec 29th, 2006
 

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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padmanjali

  • Jan 19th, 2007
 


hi


(200+100)/(u-v) =30 same direction

(200+100)/(u+v)= 20 oppsite direction

 Solve carefully uwill get  u =12.5 v=2.5

abhilash

  • Jul 21st, 2007
 

any way we want to cover a distance of 300m
in first case the time is 30 s.
therfore v1+v2=300/30        (v1-> actual velocity of first train and v2 the others )
ie  v1+v2=10
in 2 nd case
v1- v2=300/20
ie v1 - v2=15.
therefore v=12.5 and v2=2.5

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deepasaha

  • Jul 29th, 2007
 

Let u m/s and vm/s be the speeds of the trains resp.

When trains r moving in d same direction

u-v=300/30=10............(1)

Whn trains r moving in d opposite directions

u+v=300/20=15...........(2)

solving equations 1 and 2 we get

u=12.5m/s and v=2.5m/s

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suppose the speed of the trains be x and y.
to cross one another they must have to cover the sum of their length whether in opposite or same direction. but in case of opposite direction there covered distance will be summed up and In same direction the subtracted value is the length.

so here when in same direction the distances covered by the trains are 30x and 30y which is equal to 300 m. if subtracted.
so
30x-30y=300 or x-y=10
in case of opposite direction it is 20x+20y=300 or x+y=15
hence we get 2x=25 or x=12.5
and then y=2.5.

so the speed are 12.5m/s and 2.5 m/s.

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prakash

  • Nov 18th, 2007
 

as per the two equations generated ,    a - b = 10  ---------------(1)
                                                               a + b = 15 ---------------(2)

                                        a = 12.5
                                        b = 2.5
 
               most of them did the same mistake that a = 12.5    and b = 7.5

that is the wrong one and the correct answer is  a = 12.5   , b = 2.5

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Debu144

  • May 26th, 2008
 

let,
100m train => speed a
200m train => speed b

same direction: 300/(a-b)=30            => a-b=10
opposite direction: 300/(a+b)=20      => a+b=15

Solving the equations: a=12.5m/s; b=2.5m/s

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