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 3 of 6.

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)

SK Lodhi said:   1 decade ago
T = 15 Sec.
T+100 = 25 Sec.
--------------
T = 100/10 = 10 m/s where 10 sec. = 25-10(difference).
T = Length of the train
T = 15 Sec.*10 m/s=150 m.

Length of the train = 150 m.

Priya said:   2 decades ago
@pavan

Since we have declared x-distance,y-speed
According to the below given formula,

Time=Distance/speed
Here Train speed time is specified as 15 sec so,
15 =x/y

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)

Bir bdr said:   2 years ago
Let length of train = x m.

From 1st case.
Speed = x/15.

From the Second case;
speed = x + 100/25.
Now x/15 = x + 100/25.
25x = 15x + 1500.
10x = 1500.
x = 150 m.
(5)

Shirish said:   9 years ago
Why are you adding the length of the platform and length of the train X+100?

In the question, the distance between pole and platform is nowhere mentioned.

James said:   1 decade ago
Let Speed = x m/s.
Distance = 15x m = 15*10 = 150.

Time = 15 secs.
Using d = st,

15x + 100) = 25x.
x = 10.

Therefore - distance = 15x m = 15*10 = 150.

Neha said:   1 decade ago
Please let me know if we can take time as 25-15=10sec.
And solve it as,
Speed=100/10=10sec.

So D/T=S
It means x+100/25=10
x+100=10*25
x=250-100
x=150m.

Swap said:   9 years ago
Suppose the length of the train is X.
Therefore speed X/15,
As given 25 * X/15 = 100 + X,
25X = 1500 + 15X,
25X - 15X = 1500,
10 X = 1500,
X = 150.

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)


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