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 17 of 24.

L.santhosh reddy said:   7 years ago
Here, they mentioned 23sec and17sec but in answer, they took it as 23m and 17m why?

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

Thavapriya A said:   5 months ago
How to solve the following step?

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

Could anyone tell me please?
(17)

Azhagarsamy said:   1 decade ago
Simple @Anil.

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

x/y = 3/2.

Therefore the ratio is 3:2.

Kiran said:   1 decade ago
X+Y is speeds of 2trains and 27x+17y is length of trains
so lenth/speed=time

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

Train2 time is = 17.

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

GrandMaster said:   1 decade ago
Very short form is:

(27-23):(23-17),
4:6,
2:3.

So the ratio is 2:3 or 3:2.

Bijay said:   1 decade ago
Length = speed*time.

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

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

Shree said:   7 years ago
Thanks for explaining the answer. It's easy to understand the solution now.

Adi said:   1 decade ago
Short cut:

T2 = 23-17 = 6.
T1 = 27-23 = 4.

S1/S2 = T2/T1.
= 6/4 = 3/2.


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