Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 27)
27.
A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:
45 m
50 m
54 m
72 m
Answer: Option
Explanation:

2 kmph = ( 2 x 5 ( m/sec = 5 m/sec.
18 9

4 kmph = ( 4 x 5 ( m/sec = 10 m/sec.
18 9

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

Then, ( x ( = 9 and ( x ( = 10.
y - 5
9
y - 10
9

Therefore 9y - 5 = x and 10(9y - 10) = 9x

=> 9y - x = 5 and 90y - 9x = 100.

On solving, we get: x = 50.

Therefore Length of the train is 50 m.

Discussion:
106 comments Page 6 of 11.

Gopal said:   1 decade ago
Here man walking same direction of train because.

Relitive speed = train speed - man spped.

Ok.

Syndhya said:   1 decade ago
@Kapil

Please say why we are taking here why here we taking s-s1 and not s-s2 in your solution.

Arsalan said:   4 years ago
Why we have not converted the speed of the train in m/s initially? Anyone explain it, please.
(1)

Ravi said:   1 decade ago
Please any one can simply this step by step x/(y-10/9) = 10.

How can we get 10(9y-10) = 9x?

IDPRASAD said:   8 years ago
4-2=2 speed diff (same direction).

Kmph to mph.
2 * 5/18 = 5/9.

D=s * t
5/9 * 9 * 10 = 50.

Divya Bisht said:   7 years ago
Can anyone tell me that why we take 2kmph nd 4kmph separate? Why we not done 4kmph+2kmph?

Vickey pandy said:   5 years ago
Same direction =>2-4=2.
2*(5/18)= 5/9,
D = S*T.
D = (5/9)*10*9,
D = (5/9)*90,
D = 50.

Vinila said:   1 decade ago
In the 1st method.

On solving,
9y - x = 5 and 90y - 9x = 100.
We get: x = 50.

How?

Krishna said:   9 years ago
@All.

Please anyone give the answer of Durga's question, I have the same question.

Pavi said:   11 months ago
The speed is already given in that question itself so why do you declare that as y?
(2)


Post your comments here:

Your comments will be displayed after verification.