CAT 2022 Slot 1 QA Question 9: Trains A and B start traveling at the same time towards each other with constant speeds from stations X and Y, respectively. Train A reaches station Y in $10$ minutes while train B takes $9$ minutes t

Question

Trains A and B start traveling at the same time towards each other with constant speeds from stations X and Y, respectively. Train A reaches station Y in $10$ minutes while train B takes $9$ minutes t

Accepted Answer

Let the total time taken by train B be $T$ minutes. Since train A takes $10$ minutes for the whole journey,
$\dfrac{v_A}{v_B} = \dfrac{T}{10}$
After meeting, train B takes $9$ minutes to reach X. This remaining distance for B is the same as the distance covered by train A before meeting.
Time taken