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 6 of 6.

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

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

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

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.

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


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