Multiple choice

On a calm day a boat can go across a lake and return in time $T_0$ at a speed $V$. On a rough day there is uniform current at speed $v$ to help the onward journey and impede the return journey. If the time taken to go across and return on the rough day be $T$, then $T/T_o$ is :

  1. $1-\dfrac { v^ 2 }{ V^ 2 } $
  2. $\dfrac{1}{1-\dfrac { v^ 2 }{ V^ 2 } }$
  3. $1+\dfrac { v^ 2 }{ V^ 2 } $
  4. $\dfrac{1}{1+\dfrac { v^ 2 }{ V^ 2 } }$
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