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 4 of 24.

Janardhan said:   1 decade ago
It's correct method to solve this problem.

Boomathi said:   1 decade ago
very good solution....

Arun said:   1 decade ago
Based on the below formula -- >

If two trains of length a(i.e. 27x) metres and b(i.e. 17y) metres are moving in opposite directions at x m/s and y m/s, then:

The time taken by the trains to cross each other (i.e.23 sec) =

(27x + 17y)
```````` secs
(x + y)


Therefore, the above solution is provided based on this derivation. Its given in the formulas section.

Mohit sahu said:   1 decade ago
Friends its easy to undrstnd as the qustn says that d trains r moving in oppste drtn that means the total distance travveld by the trains wen they crosses the person will be equal to the total distance travlld by dem in crossng each other.

Mathematly we can also better undrstnd ths by wrtng tht equation as

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

Vivek said:   1 decade ago
How the (27x+17y)/x+y=23 formula comes?

Sunny(sunil) said:   1 decade ago
http://www.indiabix.com/aptitude/problems-on-trains/formulas

Look at this link then you can understand why we use x+y down there!

Sameer said:   1 decade ago
Can anyone explain me how he got this step 4x = 6y ?

Bhanu said:   1 decade ago
Take all x terms once side and why terms other side then subtract we get 4x = 6y.

Lokesh said:   1 decade ago
27x - 24x = 23y - 17y

4x = 6y

x/y = 3/2.

Prabhakaran said:   1 decade ago
Im not clear with above step can anyone give more explanation about this problem. I have doubt in (27x+17y) / (x+y) =23 what this statement mean by. Anyone help me please.


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