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 6 of 28.

Pawan said:   1 decade ago
It is longest but easy to undertand

len = speed*time

speed: 54*5/18=15

Now calculate the length of train,

len=15*20

=300

now calculate the length of platform

use same formula (x=platform length)

300+x=15*36

x=540-300

x=240

Satheesh.m said:   1 decade ago
Speed as we calculated 15m/sec

The difference from the ref pt (i.e.,man) to the train pass the platform is 16

So, 15*16=240m

Nusrath Kamal said:   1 decade ago
Why you all are complicating this simple question, here how this work:

Answer = Length of the Train - Length of the platform

Length of the Train= Speed + Time (please refer the formula).

: 54 * 5/18 = 15(speed of the train)X 20 Time = 300

Length of the Platmform= Speed + Time
: 54 * 5/18 = 15 (Speed of the Train) X 36 Time = 540

So answer = 540 - 300 = 240 M

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

Aasif Javed said:   1 decade ago
@Ashwini is your calculation right?

Please check it.

x = 54*5/18*36 = 540m not 240m

Dheeraj said:   1 decade ago
Can some tell me which formula we are applying for for

x+300
-----=15
36

I understood that once we multiply 15 and 36 we will get 540......
But, why we are multiplying them......?

Is it because of distance = speed * Time.....???

Explain me please???

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

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.

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

15*36=540.

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)


Post your comments here:

Your comments will be displayed after verification.