Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 4)
4.
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
1 : 3
3 : 2
3 : 4
None of these
Answer: Option
Explanation:

Let the speeds of the two trains be x m/sec and y m/sec respectively.

Then, length of the first train = 27x metres,

and length of the second train = 17y metres.

27x + 17y = 23
x+ y

27x + 17y = 23x + 23y

4x = 6y

x = 3 .
y 2

Discussion:
233 comments Page 15 of 24.

Chanti said:   1 decade ago
I didn't understood why x+y is divided by the term 27x+17y... can any body help to explain clearly

Ranjitha said:   1 decade ago
@ chanti
its length=speed*time
so length of first train=27*x mts
and length of 2nd train= 17*y mts

Karma said:   4 years ago
Isn't it like X/Y = 4/6?

How come in the above solution like X/Y 6/4=3:2.
X=4 and Y=6 isn't it?
(6)

Heisenberg said:   9 years ago
Thanks @Narayan.

=> Guys use the method of mixture and allegation the answer is very much easy.

Angel said:   8 years ago
@Latz.

If both trains will be in the same direction then the equation becomes:
(27x+17y)/(x-y).

K.kiran kumar said:   2 decades ago
I can't get this step

(27x+17y) / (x+y) = 23

Why we have to use this? can any one explain me.

RAVI said:   1 decade ago
I can't get this step

(27x+17y) / (x+y) = 23

Why we have to use this? can any one explain me.

Amit Jana said:   1 decade ago
#Krishna no this is not possible as you say. Then cross each other in 23 sec. Is have no sense?

Sourabh yadav said:   9 years ago
An alternative answer:

27 - 23 = 4.
27 - 17 = 6.

Take the square root of both 6 and 4
=> 3:2.

Abraham said:   6 years ago
The explanation are excellent, but we asked the the speed, so why we calculated the time taken?


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