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.

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

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?

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

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

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.

Sanjana said:   6 years ago
Good explanation.

Madhan said:   6 years ago
Thanks all.

Gugi said:   5 years ago
Explain the answer, please.

Pavan.k said:   1 decade ago
Let length =x
Case 1: speed of train in 15 sec. =x/15
Case 2: since it crossed pole then the total distance = 100+x
Now speed =100+x/25

Now equating both the speeds x/15 = 100+x/25 we get the x value

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.


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