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 8 of 11.

Sasikumar said:   2 decades ago
Why 5/9 is subtracted with y? Please any one tell the answer.

Raksha said:   5 years ago
I did not get it properly. Could someone explain me briefly?

Priyanshu said:   4 years ago
I didn't understand the solution, anyone explain it please.
(2)

Raja said:   9 years ago
@K. Anitha.

I didn't get your last step. Please explain.

Akhilesh Mehta said:   9 years ago
@Karuna.

It is for converting the speed Km/h to m/sec.

Shubham said:   9 years ago
How can we calculate the speed of the train in this?

Suraj said:   7 years ago
Please tell me that, where did the 5/18 come from?

Chandini said:   3 years ago
Why we multiply 9 and 10 here? can anyone explain?
(22)

Erram saicharan said:   7 years ago
Why y is considered as m/s?

Please explain that.

Karuna said:   9 years ago
What is that 5/18 and why should we take that?


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