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CAT 2023 Set-3 | Quantitative Aptitude | Question: 8

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A boat takes $2$ hours to travel downstream a river from port $\text{A}$ to port $\text{B}$, and $3$ hours to return to port $\text{A}$. Another boat takes a total of $6$ hours to travel from port $\text{B}$ to port $\text{A}$ and return to port $\text{B}$. If the speeds of the boats and the river are constant, then the time, in hours, taken by the slower boat to travel from port $\text{A}$ to port $\text{B}$ is

  1. $3(\sqrt{5}-1)$
  2. $3(3+\sqrt{5})$
  3. $3(3-\sqrt{5})$
  4. $12(\sqrt{5}-2)$

     

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