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.

Anjan kumar said:   1 decade ago
@k.kiran kumar
27x+17y/x+y
here as the two trains cross each other total distance they travelled is length of them.As given in problem they cross in 23 seconds.
time=distance/speed
i.e 23=27x+17y/x+y

Rohit said:   1 decade ago
Fast calculation = mod(23-17) : mod(23-27) = 6:4 = 3:2 .

Sujata said:   1 decade ago
I agreee with Rohit calculation.

Pallavi said:   1 decade ago
Can anyone tell me the formulas for relative speed ?

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.

Maha said:   1 decade ago
Distance=speed*time.
1st train time =27sec. 2nd train time =17sec.
two trains can cross the each other in opposite direction is 23 sec.
so total time=(total distance)/totalspeed;
total distance,
1st&2nd train have speed x,y;
total distance=27x+17y; total speed=x+y;
23=(27x+17y)/x+y;
23x+23y=27x+17y;
6y=4x;
6/4=x/y;
3/2=x/y;
3:2

NICK said:   1 decade ago
Can any one tell me how to calculate mod(23-17) : mod(23-27)

I forgot how to calculate mod and if we are calculating same mod(23-17) : mod(23-27) then how it comes to 6:4????

Avinash said:   1 decade ago
First you have to know that mod(positive or negative value) = positive value

So mod(23-17)=6
mod(23-27)=mod(-4)=4

Hope you understood.

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.

Pardhu said:   1 decade ago
Avinash could you please explain clearly.


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