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 9 of 24.

Kaviarasan said:   9 years ago
Simple method:

A B
27 17
23 (Common time for A & B)
6 4
(23-17) (27-23)
3 : 2

Shield said:   9 years ago
How is it possible?

Kripita said:   9 years ago
Very well explained. Thanks.

Yarasani srinivas said:   9 years ago
TIME = DISTANCE /SPEED.

We don't know how much distance apart.

27x is train1 distance at which it crosses man.
17y is a 2nd train.

We know when they meet 23 sec.

23 = 27x + 17y/ x + y.

Phani said:   9 years ago
23 - 17 = 6.
27 - 23 = 4.
6 : 4 = 3 : 2.

Harry said:   9 years ago
I don't know its correct or not but I got the answer easily.

My step-- it's not telling about the speed so what we have here is 27 sec and 17 sec so its the ratio 27:17.

(27/9) = 3 : (17/9) =1.8 = 2.

So I got 3 : 2.

I don't know whether its right step or not, Please correct me, if it is wrong.

Arifshaikh said:   9 years ago
Try the rule of alligation.

It will take 30 sec.

Sarat said:   9 years ago
TIME = DISTANCE /SPEED.

We don't know how much distance apart

27x is train1 distance at which it crosses man
17y is 2nd train.

We know when they meet 23 sec.

23 = 27x + 17y/ x + y.

Shrikant said:   9 years ago
@Narayan.

Your answer is good it is a bit easy method.

Heisenberg said:   9 years ago
Thanks @Narayan.

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


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