Two pipes $A$ and $B$ can fill a tank in $15$ $minutes$ and $20$ $minutes$ respectively. Both the pipes are opened together but after $4$ $minutes,$ pipe $A$ is turned off. What is the total time required to fill the tank?

  • A
    $10 \text{ min } 20 \text{ sec}$
  • B
    $11 \text{ min } 45 \text{ sec}$
  • C
    $12 \text{ min } 30 \text{ sec}$
  • D
    $14 \text{ min } 40 \text{ sec}$

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