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 10 of 28.

Juhi said:   1 decade ago
Instead of multiplying 15*20.

We can directly do it by method.

Firstly converting speed = 54*5/18 = 15 m.

Then as we know speed = distance/time.

Since distance = speed *time = 15(36-20) = 15*16 = 240m.

Chalam said:   1 decade ago
Hi 36*54*5/18=540-> which is nothing but the total length includes train and plat form....
and 20*54*5/18=300 -> which is lenth includes train and up to man ..... and taking difference 540-300=240

Bikash said:   8 years ago
If the man stand at the head side then the length of train is 300m as well as the length of the platform is 240 m and if the man stand at any point of the platform then the length of the platform is 540.

Ashwini Shet said:   1 decade ago
Is it necessary to calculate the length of the train?

We can do it directly as:

distance = speed * time

Let x be the length of the platform , which train crosses in 36s.
x = 54 *5/18 *36 = 240m

Murali krishna star said:   5 years ago
Length of the train relative to the station is 36*15=540,
Length of the train relative to man@20sec is
20*15=300.

Now,
Length of the train relative to station subtract the length of man 540-300=240.

Avinash Kapu said:   5 years ago
In this problem, it is considered that the man is standing at the extreme end. That's the reason length of the train is calculated as 15*20. What if the man is standing in the middle of the platform.

Uzair said:   1 year ago
I think we don't need 20 secs a train travelling at 54km/hr took.

36 secs to pass a platform means that it covered a distance equal to. Platform in 36 secs simply convert it and the answer is 540m.
(11)

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.

Peter said:   9 years ago
Easily way.

Train speed is 54 in KM/HR so KM/HR = 1000 M /3600 S = 10/36 = 5/18 * 54 train speed = 15 M/S.

Train crossed in 36 man in 20 so we can minus both so 36 - 20 = 16.
16 * 15 = 240.

Krishna said:   7 years ago
Here, the length of the train is more than the length of the platform, how can a train be fit on that platform?

Platform length is 240m and Train length is 300m. Please explain me about it.


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