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.

Cherry said:   1 decade ago
Can any one say how does this length of the first and second trains are considered as 27x and 17y respectively?

Tamil said:   1 decade ago
Hi friends.

How to use mod method to calculate this problem?

Azhagarsamy said:   1 decade ago
Simple @Anil.

4x = 6y.
Then x/y = 6/4.

x/y = 3/2.

Therefore the ratio is 3:2.

Anil said:   1 decade ago
If, 4x=6y.
Then how to come ratio 3:2?
How it possible?

Kriti said:   1 decade ago
How can the time be taken as the ratio for length?

I mean why 27x and 17y. 27 and 17 are time, then how can they be taken as ratios of length?

Chacko said:   1 decade ago
Can anyone say why is 27X+17Y = 23X+23Y....?

Ideally if we cross multiply, it should come as 27x+17Y = 23X-23Y.

Anil vattamwar said:   1 decade ago
Train1 time is = 27.

Train2 time is = 17.

Divide them = (27/17) => (3/2).

R.Abiraman said:   1 decade ago
Relative speed of train = x+y;

Train 1 dis = 27x;
Train 2 dis = 17y;

Formula(speed = distance/time).

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

23x+23y = 27x+17y;

-4x+6y = 0;

6y = 4x;

x/y = 6/4.

So 3:2.

Arunkumar said:   1 decade ago
Hi,

Nice explanation for why we need to.

1. Add the both trains speed which were running in opposite Directions with a reference point.

2. Subtract the both trains speed which were running in Same direction with a reference point.

http://en. Wikipedia. Org/wiki/Relative_velocity.

Askar said:   1 decade ago
:) The simple formula use for this problem is S = v*t.


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