Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 5)
5.
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
120 m
240 m
300 m
None of these
Answer: Option
Explanation:

Speed = 54 x 5 m/sec = 15 m/sec.
18

Length of the train = (15 x 20)m = 300 m.

Let the length of the platform be x metres.

Then, x + 300 = 15
36

x + 300 = 540

x = 240 m.

Discussion:
276 comments Page 11 of 28.

ASIFAS HASPURA said:   8 years ago
@Vetri & @Sara both are correct.

Vaibhav said said:   8 years ago
Please explain in detail that divide factor.

Manikandan said:   8 years ago
According to me, it should be what is the length of the platform from the point man standing for the answer to be 240. Otherwise, the answer is 540.

Please correct me if I am wrong.

Bhaskar said:   8 years ago
When the train enters fully from where the platform begins and at the beginning point where the man is standing it takes 20 sec so,

=54*5/18*20= 300 and that is the length of the train.

Imran said:   8 years ago
Thanks @Satheesh.

Uvesh said:   8 years ago
I did it like this.

First, while train passing thru platform in 36 sec = 15 x 36 = 540,
Second while train passing thru man in 20sec = 15 x 20 = 300,
Now, the relative length 540 - 300 = 240.

GOPAL said:   8 years ago
If you can think then,

(36-20) * 54000/3600 = 240m.

Akash said:   8 years ago
Time ratio of train A & B is 27 : 17.
Hence speed ratio of A & B respectively is 17:27.
They meet after 23 sec ,hence 23-17 =6 & 27-23 =4.
Then ratio is 6 : 4 means 3 : 2.

Asif Ansari said:   8 years ago
@Harish.

Why do we need the length of train?"
=> when the question says " A train passes a station platform in 36 seconds" it means the time between when an engine of the train has crossed the starting point of platform till trailer had passed the end point of the platform.

If you actually analyse this, we find that train had already passed platforms total length(x) when its engine crossed end point of platform and it is still going on till its trailer crosses end point of platform(i.e. train went 300m extra which is its own length)
Trains pass length = x+300;
Trains pass time= 36 sec.

Therefore we substitute (distance) = (speed) * (time).
(x+300)= (54 * 5/18) * 36.
=> x =240m.

Harish said:   8 years ago
For finding length of the train we must consider a reference point (man).

But for finding the distance covered why do we need the length of the train.

Simply we can do DISTANCE COVERED = SPEED X TIME.

Can anyone explain it, whether this is correct method are wrong?


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