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 22 of 28.

Shakya said:   1 decade ago
You can take this question as:-

A train can pass a station platform in 36 seconds and it can pass a man standing somewhere not only on platform (this statement shows the point is stationary) in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

speed=15 m/s
train length=15*20;
train length + platform length= 15*36=540;
platform length = 540 - train length;
platform length = 240 m (answer)

Shro said:   1 decade ago
@Abhishek here we are supposed to find the length of the platform.
once we find the speed of train that is 15msec.
length or distance=speed * time
so length of train = speed of train is 15m/s multiplied by the train taking time to cross the man's position in 20secs.
so= 15 * 20

If u calculate in this way ,then as per the mathematics , u will come to know where the man is standing....


In such cases Solve as per the formulas.
Hope u got it :)

Abhishek said:   1 decade ago
But we don't know where man is standing on the platform. Do we ?

And if we don't know that then how do we supposed to do 15x20= 300 ?

Can anyone tell me that. ?

Shro said:   1 decade ago
@ Rahul Nicely explained ...thank you :)

Rajasekhar sarvepalli said:   1 decade ago
Since the train is moving toward the man you can do 36-20 seconds = 16 seconds.
Logically if u think whenever u stand on a platform and train is coming towards you the the speed of a man becomes lesser than the speed of a train.

there for distance = speed x time = (54 x 1000 meters/ 3600 seconds).x 16 sec
= 15 x 16
= 240 meters

Sujay Kumar Sardar said:   1 decade ago
@Ranjita

No Ranjita. 540m is the total distance(length) covered by train i.e its own

Length plus length of the platform= 540m
Though we know length of the train i.e 300m
Therefore length of the platform is (540m-300m)= 240m.

Mohd Imran said:   1 decade ago
Hi friends,
length of the platform = speed*time
so,speed =54km\hr
1km=1000
1hr=60*60=3600secs
so,km/hr=1000/3600=5/18
km/hr=0.2777
so,speed =54*0.277=15
and time=36-20=16.
so length of the platform=speed*time=15*16
length of the speed =240m.
so the answer is(b)

Ranjitha said:   1 decade ago
Actually the answer can b 540.

15*36=540.

Rahul said:   1 decade ago
Please tell me the reason why we can not calculate lenght of train through 15*36=540 can we calculate lenght of train like this if nt thn tell me reason.

Baskar.R said:   1 decade ago
Speed = 54x5m/sec = 15 m/sec
15*36=540
man standing= 15*20=300
ans= platform length=540-200
ans= 240


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