Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 7)
7.
Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:
50 m
72 m
80 m
82 m
Answer: Option
Explanation:

Let the length of each train be x metres.

Then, distance covered = 2x metres.

Relative speed = (46 - 36) km/hr

   = 10 x 5 m/sec
18

   = 25 m/sec
9

2x = 25
36 9

2x = 100

x = 50.

Discussion:
232 comments Page 22 of 24.

Mega said:   1 decade ago
Why we are taking 2x?

Appu said:   1 decade ago
Hello Friends,
If 2 trains of length a and b moving in same direction at u,v.Then the time taken by the faster train to cross the slower train is =(a+b)/(u-v)sec.
So here,Time=36sec and u+v=25/9m/sec
Then the formula is,36=(a+b)/(925/9)
a+b=100
Now we get a=50 and b=50
I think ur doubt is clear now

N.ADITYA said:   1 decade ago
The correct answer is 100 mts. We can take the length of only one train as answer as both the trains started at the same point and time. The faster train has just to cover its length only to cross the slower train. The formula is:

((46-36)kmph*5/18)*36=50/18*36=100mts.

------------- Added by Author -----------------------------------
This answer is wrong. We have to read the question very carefully, there is no information like "started at the same time and same point".
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Sudha said:   1 decade ago
We can slove like this
relative speed =10km/hr
distance=speed*time
=(10*5/18)*36
=100m
distance=sum of length of train
since both r equal length
length of each =50m

Sumi said:   1 decade ago
Hi jayanth
read the problem carefully its given that the trains of equal length

Shyam said:   1 decade ago
How can we take 2X there?

Shyam said:   1 decade ago
How can we take 2X there?
(1)

Jelli said:   1 decade ago
It's simple

We know the formula
u=(a+b)/x-y
let us take the lengh of the train is z(both trains len are same)
then
36=(z+z)/(46-36)*5/18
z=50m

Bhuvana said:   1 decade ago
How it is possible? train length = x metres then distance =2x metres.

Prati said:   1 decade ago
I think we can do like:

Relative speed is (46-36);

Length = (10*5/18)*36;
=100both
=50 each.


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