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:
233 comments Page 6 of 24.

Siree said:   7 years ago
s1-s2=(L1+L2)/time.
46-36=2(L1+L2)/36,
10 * 5/18=2(L1+L2)/36,
50=2(L1+L2)/2,
50*2=2(L+1L2).
L1+L2=100/2 = 50.

Dhruvi said:   7 years ago
Is the faster train behind the slower one? Is that why we are adding length of both?

Nelson said:   7 years ago
Why have you subtracted the speeds to get the relative speeds instead of adding them? Please explain.

Hemant manglani said:   7 years ago
Same Direction (46-36) = 10,
length= speed * time.
(10*5/18)*36 = 50.

Debojit said:   7 years ago
But they are in the same direction, How you add x+ x and not subtract?

Because it's given the same direction if it's opposite direction then it's not a problem. Please explain me.

Sumit Bhagat said:   7 years ago
If length of each train is supposed as x. Then how could distance cover is 2x?

Myuri said:   7 years ago
@Tejaswini.

Our question is to find the length of each train. So first we want to find both the length of the trains (2x), here x is a length of one train. So only take 2x.

Tejaswini said:   7 years ago
How did you take 2x?

Sunil said:   7 years ago
Since they are in same speed u,v.

We take u-v=46-36=10km/hr,
10*5/18=25/9,
So now we know the speed and time,
25/9 * 36 = 100.
As we calculated for the 2 trains we require only the length of one train so we take 100/2=50.

UMAR farooq said:   7 years ago
First, it has to pass its complete length then it crosses the slowest train means;

First it takes 18 sec to travel its own length then it takes another 18 sec to cross the slowest train that's why 2x it is taken.


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