Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 19)
19.
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
50 m
150 m
200 m
Data inadequate
Answer: Option
Explanation:

Let the length of the train be x metres and its speed by y m/sec.

Then, x = 15     =>     y = x .
y 15

Therefore x + 100 = x
25 15

=> 15(x + 100) = 25x

=> 15x + 1500 = 25x

=> 1500 = 10x

=> x = 150 m.

Discussion:
55 comments Page 2 of 6.

Sanjana said:   6 years ago
Good explanation.

Sia Siam Changsan said:   6 years ago
Let x meter be the length of the train.
We have, speed = distance/time.
S=x/15 ( to pole),
Again, s=d/t,
x/15= x+100/25(to platform),
x=150m.
(3)

Zeeshan said:   6 years ago
In very simple form:

First calculate the speed relative to platform S=D/T.
S= 100/(25-15).
S= 10m/s.

Now as S = D/T so D= S*T.
D = 10*15= 150m which is relative to Pole.
Or
D= 10*25= 250 which is relative to platform so subtract length of Platform D= 250- 100= 150m.
(11)

Arjun said:   6 years ago
Let x be the length of train.

Therefore speed of train = x/15 m/sec.
x+100 = (x/15) m/sec * 25 sec.

3x+300 = 5x.
x = 300/2 =150 m.

Mr.N.P. said:   7 years ago
Time Difference of Platform and Pole = 25-15= 10s.
Platform is 100m long.
speed of Train is = (D/T)=(100/10) =10m/s.
Length of pole(Train) = S * T = 10 * 15 = 150m.
(1)

Rosy said:   7 years ago
Please cam someone explains me again?

Ravanan said:   8 years ago
Consider, train length is x now we find out the speed s=d/t here train length is d so s=x/15
x/15=(100+x)/25,
25x=(100+x)*15,
25x=1500+15x,
25x-15x=1500,
10x=1500,
x=1500/10,
x=150m.
(1)

Vaibhav said said:   8 years ago
I can't unable to understand it, please explain.

SANTOSH said:   8 years ago
Can we calculate the speed of the train by the length of platform and time taken by train to cross the platform?

Sangita said:   8 years ago
Why x multiply with 100 and exactly which formula is used here? Please, clearly explain this.


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