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 1 of 6.

Gowtham said:   2 decades ago
Please explain the question in detail.

MOHANRAJ.A said:   2 decades ago
Assume that length is x meters.

Speed y m/sec, speed=distance/time

so, y=x/15.------------------------1.

Like the same calculate after crossing the platform

y=x+100/25--------------------2

LHS equal. So

x+100/25=x/15;
15(x+100)=25x

Then remaing sme as above.

Prabhakaran said:   2 decades ago
I can't understand step 2 mohanraj can you explain again clearly.

Pavan said:   2 decades ago
Why we take x/y=15 can you please explain me?

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

Rajesh said:   2 decades ago
other way is select any option and solve for both case

Jelli said:   2 decades ago
i think i will try explain simple
1.s=d/t=x(length or distance covered by train)/15
s=x/15
2.the same train to cross cross 100m long platform is
s=d/t
x/15(it's by step1) =(100+x)/25
then we can get x=150m
thank u

Santhanalakshmi. said:   2 decades ago
sorry for late reply..to pbn..
in train pblms length=distance..
in step 2 the length of thetrain is added with the length of the platform tat it s crossin..X+100(100 is length of the platform)
than asusual.speed=dis/tim=100+x/25
25 is the time aftrcrossing the platform.. it think u got.

Nayana said:   1 decade ago
Hi,.

Can any one explain me why they have taken 15 sec for calculating speed of train but not 25 sec?

JIJINA said:   1 decade ago
100+L/25=SPEED
L/15=SPEED
(100+SPEED*15)=25*SPEED
100=10SPEED
SPEED=10
LENGTH L= 150.


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