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 20 of 28.

Ani said:   7 years ago
Net time = 36-20 = 16,
So length of platform is =time * speed,
That is=16x15=240 MTR.

Bhuwan Ranjan said:   7 years ago
Answer will be 240mt but the length of the train is more than the platform.

Rajesh said:   7 years ago
54 * (5/18) * (36-20)=240 is the correct method I think.

Mounika said:   7 years ago
First we convert to m/s.
54 * (5/18)=15m/s.

We know that length=speed * time.
=15 * (net time),
=15 * (36-20).
=15 * 16=240,

Guravareddy said:   7 years ago
Given data is U is 36 sec V 20 secc speed is 54 km/h.

Convert the speed from km/h to m/s,
54*5/18 = 270/18 = 15m/sec,
relative speed of train in same direction ( U - V),
= 36 - 20 = 16.

now,
speed = dist/time ( s = d/t).
here we find the dist.
so,

D=S*T.

Now we have speed & time.

D=15*16 = 240m.

Agnel said:   7 years ago
Speed=54*5÷18=15.
:.15*20=300,
15*36=540,
--------------------
240.

Another option;
Speed 15.
36-20=16,
.:15*16=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.

RAMKUMAR said:   7 years ago
Speed=54*5 ÷ 18=15.
:.15*20=300,
15*36=540,
--------------------
240.

Another option;
Speed 15.
36-20=16,
Therefore, 15 * 16 = 240.

Aryan said:   7 years ago
Why did they take 20 instead of 36?

Roshan said:   7 years ago
Sol: speed of train in m/sec = 54*5/18.
=15 m/sec.

The total Distance of both = speed * time.
Platform and train =15 * 36 m
= 540m
And the Length of train = 20 * 15 m.
= 300m.

Plateform=(total distance - length of the train).
= (540 - 300) m,
= 240 m.


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