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:
235 comments Page 18 of 24.

Aparna said:   1 decade ago
Let the train A started at the end of other train B. So, it has to first cover the whole length of the train B and to completely cross B it has to cover additional length of the train A. So, length=2*lenth of each train.

Arvind Kumar Sharma said:   1 decade ago
Lets take it as train t1 speed=46*(5/18)=115/9 m/sec.
and similarly train t2's speed= 36*(5/18)=10m/sec.
Now after 36 sec t1 will cover=36*(115/9)=460m
and t2 will cover=36*10=360m
So the difference between their head engine will be=460-360=100m
So the length of trains will 100/2=50 each

Nagarjuna said:   1 decade ago
Length of train is equal to diffence in speeds multiplied by that's all.

46-36=10km/hr.

36sec*10km/hr.

36*10* (5/18) mts/s.

100mts.

RAHAMAN said:   1 decade ago
EASIEST WAY
(10*5/18)*36=100/2=50

Abhishek said:   1 decade ago
Relative speed 46-36= 10 kmph
10 x 5/ 18 = 25/9
in 36 second total distance covered = 100m
100/2= 50 m length of each train.

Shro said:   1 decade ago
We are supposed to find length of each train .
But both train are moving in same direction.
So let the length of each train be x respectively.
So the distace covered will be x+x=2x metres

Shro said:   1 decade ago
For all those who got doubt why 46-36?
Its because both train are moving in same direction.
So as per the formula when moving in same direction.it should be subtracted.
When moving in opposite direction,it should be added.

Sarvepalli.rajasekhar said:   1 decade ago
Since the Trains are moving in the same direction The diff between their speeds has to be calculated.
46 kmph - 36 kmph = 10 kmph

convert into meters per second 10 x 1000 meters / 3600 seconds
We get 25/9.

Now apply formula distance = speed x time = 25/9 x 36
Cancelling 36 with 9 we get 4 multiply with 25 we get 100 meters, which is the length of two trains.
As per the question the two trains length is the same there fore each train length is 50 meters.

Sonali said:   1 decade ago
I can't get,please tell me, Why did we get 46-36? why didn't we get (46+36)

and why did we get 2x/36?

Please explain me.

Anonymous said:   1 decade ago
How can we conclude that distance covered is 2x because here both the trains are moving and hence along with covering the distance 2x, they will cover some more distance. Please make this thing clear.


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