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 13 of 24.

Rabish pandey said:   1 decade ago
Really it is helpful to get qualify related aptitude exam I thank from my side to indiabix. Com and easy to understand solution also.

Mukesh said:   9 years ago
Total distance / total speed = total time.

This is the simple solution (X + Y) = relative speed.

Trains comes towards each other.

Pradeep kumar said:   1 decade ago
Also calculate as train 1 = 27sec.
Train 2 = 17sec.

Ratio of train 1 & train 2.

27/17 = 1.588.

We have an option 3/2 = 1.5.

Arunakar reddy said:   9 years ago
Length/speed = time.

Here,
Total length = 27x + 17y.
Speed = x + y.
Given time = 23 sec
So,
27x + 17y
------------- = 23
x + y.

Gowtham said:   8 years ago
Its very shortcut and its very simple.

27 17
2 3
6 4
The ans is 3:2 (or) 6:4.

SWETHA.T said:   1 decade ago
SPEED = DISTANCE/TIME.

DISTANCE/SPEED = TIME.

i.e 27X+17Y/X+Y = 23.

Swetha said:   1 decade ago
It can also be solved like this using the methods of allegation and mixture 27 17.

23.

6 4.

Thus ratio is 6:4 3:2.

Jasminder said:   1 decade ago
27x+17y total distance.

X+y=total speed.

Total distance/total speed=total time.

Total time= 23 given.

Solve it.

Shree said:   1 decade ago
Its simple .

T = D/S

Therefore total distance = 27x+17y and total speed = x+y

Total time = 23

23= 27x+17y/x+y

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.


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