Pipes $A$ and $B$ can fill a tank in $5$ $hours$ and $6$ $hours$ respectively. Pipe $C$ can empty it in $12$ $hours.$ If all the three pipes are opened together,then the tank will be filled in

  • A
    $1 \frac{13}{17} \text{ hours}$
  • B
    $1 \frac{8}{11} \text{ hours}$
  • C
    $3 \frac{9}{17} \text{ hours}$
  • D
    $4 \frac{1}{2} \text{ hours}$

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