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:
285 comments Page 1 of 29.

Ashok Kumar said:   3 days ago
Thanks everyone, for explaining the answer.

DHANASURIYA M G said:   3 weeks ago
Length of the platform = 240 meters.

This method uses the basic distance = speed × time formula and accounts for the difference in time when crossing a man versus a platform.

Vishakha said:   1 month ago
I think if we multiply speed with time of platform then it is 540.

Hemant said:   2 months ago
@All.

First, identify the distance:
> Crossing a man/pole/tree?
Distance = Length of the train.

> Crossing a platform/bridge/tunnel?
Distance = Length of train + Length of platform.

> Crossing another train?
Distance = Length of Train A + Length of Train B.
(5)

Rajeshwari said:   3 months ago
Given:

Step1: Convert speed (km/hr)to(m/s) : (54*5/18)=15
Step2: Find the length of the train: speed*time required by the man standing on platform = 15 * 20 = 300 m
Step3: To find the length of the platform:
length of platform = x.
= (x + length of the train) /time required by the train to pass the station platform
15 = x + 300/36,
x + 300 = (15)(36),
x + 300 = 540,
x = 540 - 300,
x = 240m.
(3)

Prathamesh Devrukhakar said:   6 months ago
@Sai.

1 km/hr = 5/18 m/s.
(5)

Vamsi said:   10 months ago
54×5/18x(36 sec-20 sec).
= 15 × 16 = 240.
(65)

Kiruthika said:   10 months ago
To find the length of the train why we use a 20-second time instead of 36 seconds? Anyone please explain to me.
(23)

Mahesh said:   10 months ago
Given,

Whole time spent on the platform as and assume it as t1 = 36 sec.
A man standing on the platform assumes it as t2 =20 sec.
We need the length of the platform.
Time (t1-t2) = 36 - 20 = 16sec.
Speed = 54 km/hr.
Convert km/hr to m/s.
1 km/hr = 1 * 5/18 m/s.
54 *5/18 = 3 * 5 = 15.
Length or distance of platform =speed * time.
=15 * 16 = 240m.
(37)

Vishnu Kawale said:   11 months ago
Here, the length of the train is very small compared to real life.
(5)


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