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 9 of 11.

Sovaki said:   8 years ago
Can someone explain to me how you get (5/18)?

Poonam said:   1 decade ago
At last why it is multiplied by 9 not by 10?

Kubstar said:   6 years ago
@Ramya.

Why are you subtract "2" from 22?

Sumit said:   5 years ago
@Ramya.

Why don't you use x-4 equation?

S.Banerjee said:   9 years ago
Thanks for the shortcut method @Anagha.

Nayana said:   1 decade ago
@ Ranu
Hi Ranu,
Thank you so much

Vikas3692 said:   9 years ago
@Anagha,

Please explain why 9 * 10?

Mukundan said:   5 years ago
@Mancy.

Good Explanation. Thanks.

Soundarya said:   10 years ago
@Kabil.

How is 55/9 is coming?

Mou444276 said:   9 years ago
@Anagha.

Why 9 *10 or not 19?


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