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 16 of 28.

RKK said:   1 decade ago
Speed = 54*(5/18) m/sec. = 15 m/sec.
length between man and starting point of platform = (15*20) = 300 m.

x be the length between man and end point of platform and train cross the total length in 36 sec.
So,
300 + x is the total length of platform.

(300 + x)/36 = 540.

Ans = 240 m.

Rkk said:   1 decade ago
Sorry friends the question was asked about the total length of platform.
So the total length is,

Speed = 54*(5/18) m/sec.
Length between man and starting point of platform = ( 15*20 ) = 300 m.

x be the length between man and end point of platform and train cross the total length in 36 sec.

So,
300 + x is the total length of platform.

( 300 + x )/36 = 15.
= 240.

Total length = 300 + 240 = 540.

Juhi said:   1 decade ago
Instead of multiplying 15*20.

We can directly do it by method.

Firstly converting speed = 54*5/18 = 15 m.

Then as we know speed = distance/time.

Since distance = speed *time = 15(36-20) = 15*16 = 240m.

Mvk said:   1 decade ago
S (km/hr to m/s) => 54 * 5/18 = 15.
T = (36s - 20s) = 16s.
D = S * T = 15 * 16 = 240m.

Bharat said:   1 decade ago
v=d/t;. 15=d/36; d=540.

v=d/t ; 15=d/20 = d=300;

540-300 = 240.

Sunil Ranjan Samantaray said:   1 decade ago
Why length of the train will be 15*20 = 300?

Why not, length of train will be 15*36 = 540?

Please justify the reason.

Chinu said:   1 decade ago
Please explain why we took x+300?

Harshini said:   1 decade ago
We have the formula.

Distance = Speed*Time.

= 15*20

= 300

Manoj Dhawade said:   1 decade ago
We have to do 15*36 because train crosses the platform in 36 sec. So the answer should be 300 m.

Manoj dhawade said:   1 decade ago
We have to do 15*(36-20) because train crosses the platform in 36 sec and the man in 20 sec. So the answer should be 240 m.


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