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 7 of 11.

Yogesh said:   1 decade ago
Multiply The eq1 by 10, IT will become 90y-10x=50. Now subtract eq1 from from 2.

Anushree Kulkarni said:   3 years ago
Distance = length of the train.
D = S * T.
D = (4-2)*5/18*90,
Therefore D = 50.
(41)

Rakshikasaravanan said:   5 years ago
Speed = 2 - 4 = 2kmps.
S = 2 * 5/18 = 5/9m/s.
L = s * t
L= 5/9 * 9 * 10
L= 50.
(3)

Arvind said:   1 decade ago
@Yogesh,

By doing that we are not getting 50.
Got x = 50/8.

Please explain?

Anu malik said:   9 years ago
Can't understand, please, tell me how to explain it in short cut method?

Jaimin said:   8 years ago
Can anyone explain the relation of time in detail: (t1*t2)/(t1-t2).

Vinay said:   1 decade ago
Kapil finally it is 55/9 not 55/11 ok, you had solved really great.

VamC said:   7 years ago
Why we should consider y-5/9 and y-10/9 in Denominators (Speed) ?

Jitendra raghuvanshi said:   1 decade ago
What is find out by 5/9 and 2/9.

I mean is it speed of train ?

Mamatha said:   1 decade ago
Please can any one of you tell me the problem in easy method ?


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