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:
234 comments Page 9 of 24.

Dileep kumar said:   1 decade ago
27x + 17y/(x+y) = 23;

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

4x = 5y;

x/y = 5/4.

Vipul said:   1 decade ago
First we are doing KM Hr to MS.
Then Formula is a*5/18.

Then,
45*5/18=75/6 MS.

Distance = Speed*Time.
= 75/6*30.
= 375.

Distance = 375-130.
= 245.

Carlo said:   1 decade ago
Let Train A distance = 27x Train A speed = x.

Train B distance = 17y Train B speed = y.

Time = distance/speed.

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

x/y = 3/2 ----> Answer.

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

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.

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.

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

Train2 time is = 17.

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

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.

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?

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


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