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 3 of 5.

Arman said:   1 decade ago
If we take 2x and x as speeds of the trains, then its changing from what it is when we take x and x/2 as two train speeds.

Piyush said:   1 decade ago
Correct Answer is 200m.

Two cross Platform Distance would be 400+y.

i.e. If train length is 200 than it should be 400+y.

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

Reka said:   8 years ago
Can anybody tell me why they have taken the 1st train to calculate the length of the platform, why not both the trains.

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.

Umang said:   8 years ago
@Reka.

Here in this question condition is given that only first train cross the railway platform in 45 seconds.

Raj said:   4 years ago
Guys,

Why can't we assume length of 1st train 2L metres and length of 2nd train L metres?

Please explain me.
(3)

Riya said:   7 years ago
Can anybody help me?

Why we are taking the first train speed for calculating the length of the platform?

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.

Suraj said:   9 years ago
@Lakhbir.

5/18 is used when converting kmph to mps.

18/5 is used when converting mps to kmph.
(1)


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