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 6 of 24.

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

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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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

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

Aditya gangwar said:   1 decade ago
Because both trains are of equal length, mentioned in question. So lets take length=x, then to cross another train of same length i.e. x. First train have to cover distance of x+x.

Thats why he has taken 2x.

Sunayana said:   1 decade ago
@appu. I understand your way of explaining. Its clear my doubts. Thanks.

Prajwal said:   1 decade ago
You have taken 2x/36.

Is it the speed of the slower train or the time taken to overtake?

M.chandrababu said:   1 decade ago
Please explain how to take distance covered=2x meters.

Suganthan.m said:   1 decade ago
Distance=sum of length of two trains.

How it is please anyone explain.

P sudhakar said:   1 decade ago
Why did take the differences of speed?


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