CAT Exam 2021 Slot 2 Solved Paper

Considering the length of train A=La , length of train B=Lb .
The speed of train A be 5×x , speed of train B be 3×x
From the information provided :
The front end of A crossed the rear end of B46‌seconds after the front ends of the trains had crossed each other.
In this case, train A traveled a distance equivalent to the length of train B which is Lb at a speed of 5×x+3×x=8×x because both the trains
are traveling in the opposite direction.
Hence (8×x)×46=Lb.
In the information provided :
It took another 69‌seconds for the rear ends of the trains to cross each other.
In the next 69‌seconds
The train B traveled a distance equivalent to the length of train A in this 69‌seconds.
Hence (8×x)×69=La .

La

Lb

=

69

46

=

3

2

=3:2