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Trains $\text{A}$ and $\text{B}$ start traveling at the same time towards each other with constant speeds from stations $\text{X}$ and $\text{Y}$, respectively. Train $\text{A}$ reaches station $\text{Y}$ in $10$ minutes while train $\text{B}$ takes $9$ minutes to reach station $\text{X}$ after meeting train $\text{A}$. Then the total time taken, in minutes, by train $\text{B}$ to travel from station $\text{Y}$ to station $\text{X}$ is

  1. $12$
  2. $6$
  3. $15$
  4. $10$
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