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 3 of 28.

Lokesh said:   2 years ago
Given the speed of the train is 54 km/hr.

In 60*60second.
15m in 1 seconds.
90m in 6 seconds.
150m in 10 seconds.
240m in 16 seconds.

Because the time diff is 16 seconds Platform length.
(30)

MOHAMED YAZAR S said:   2 years ago
Speed = 54km/hr
54*5/18 = 15m/s.

Time = 36-20 =16sec.

Length of the platform(D)=?
Distance = speed * time.
Distance = 15 * 16.
Distance = 240 m.
(222)

Lithesh kumar said:   2 years ago
Speed=54*5/18=15m/s.
Distance = 36 - 20s = 16,
=>15*16=240m.
(25)

Justin Gj said:   2 years ago
Since the options given are in meters, we must first convert given into m/s.

Speed of train =54km/hr = 54*5/18 = 15m/s.
Then find the length of the train using D = S * T eqn in the case of a man

Length of train =15 m/s *20 secs =300m.
Then while passing the platform, Total length =(train length +platform length) = 15m/s * 36 secs =540m.
Therefore platform length = 540m - 300m = 240m.
(41)

Priyanka said:   2 years ago
D = S x T.
D = (54x 5*18) x (36-20).
D = 15 x 16.
D = 240m/s.
(157)

Rejwan Hossain said:   3 years ago
The length of the platform = (speed of train * time taken to pass the platform)/(1 - (time taken to pass the man/time taken to pass the platform))

In this case:
The length of platform = (54 * 36)/(1 - (20 / 36))
= (54*36)/(1-(20/36))
= (1944)/(1-(5/9))
= 1944/(4/9)
= 1944 * (9/4) = 240 meters.
(11)

Dipesh said:   3 years ago
54 * 5/18 = 15m/sec.
20 + 36sec = 56sec,
15 * 56 = 240m.
(61)

Ravi Kumar said:   3 years ago
The length of platform = x + 300/36 = 15 m/s.

Can someone explain why we write the 15 m/s on R.H.S of the equation?

I really could not understand. If someone knows then please help me.
(5)

Anusha said:   3 years ago
Speed = l + b (length of train +platforn).
Speed of train = 54*5/18 = 15.
speed = d/t -----> d = s*t.
d = 15*36-20 (time of train - time of man).
d = 240m.
(18)

Noradavis said:   3 years ago
@All.

Since the train is moving toward the man you can do 36-20 seconds = 16 seconds.
(8)


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