Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 29)
29.
A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is
400 m
450 m
560 m
600 m
Answer: Option
Explanation:

Let the length of the first train be x metres.

Then, the length of the second train is ( x ( metres.
2

Relative speed = (48 + 42) kmph = ( 90 x 5 ( m/sec = 25 m/sec.
18

Therefore [x + (x/2)] = 12 or 3x = 300     or     x = 200.
25 2

Therefore Length of first train = 200 m.

Let the length of platform be y metres.

Speed of the first train = ( 48 x 5 ( m/sec = 40 m/sec.
18 3

Therefore (200 + y) x 3 = 45
40

=> 600 + 3y = 1800

=> y = 400 m.

Discussion:
48 comments Page 1 of 5.

Prabu said:   1 decade ago
After found the length of the first train then it will come to know about the length of 2nd train because (x/2).

When we find the length of the platform. Why did we use the first train length?

Vineet said:   1 decade ago
The answer isn't correct. It should be 600m.

Proof: If you go by other way taking length of the platform as 400m and time as 45 seconds.

Then the speed of the train would come as: (400/45)*(18/5)=32kmph(which isn't true)

Sowjanya said:   1 decade ago
Can anybody explain this problem clearly ?

Nakul gowda said:   1 decade ago
@Vineet:

You are wrong buddy,,..you have to add train's length as well.

So it'd be 400+200=600/45*18/5 = 48 kmph.

Priya said:   1 decade ago
I think answer for length of the platform is 200m.

(400+y) /45=48*5/18.

Solving this we get y=200m.

Vinay said:   1 decade ago
According to the problem,

First let us take length of the first train as "x"

So the length of the second train is half of the second train so it is half of x
So the total length is "(3/2)x"

and given that the two trains are travelling in opposite directions so that their relative speed = (48+42)km/hr.
now convert into m/s so it is 90*(5/18) =25 m/s.

from basic rule s = d /t;

25 m/s = ((3/2)x)/ 12 sec
by solving it we get x = 200m

and given that time required to pass platform is 45 sec

and length of platform = z
48 * (5/18) = (200+z) m/ 45 sec

by solving it we get finally 400 m

Syndhya said:   1 decade ago
Could anybody explain clearly. Please. I can't understand. Explain in a simple manner please.

Prabir kumar kar said:   1 decade ago
12 sec is used to cross both the train from opposite direction.but 45 sec is used to pass only the platform by the fastest train.

Ramyajit said:   1 decade ago
@PRIYA
u r wrong.The length of the train is 200m.
To finding length of the platform,u have to solve this manner.

200+x=48*(5/18)*45

ANS:- 400m.

Prabha said:   1 decade ago
Please tell me why we have to use 48km ? why not 42 km ?
after finding x=200...?? do answer it.

ie..200+x=48*(5/18)*45


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