Two pipes can fill a tank in $15$ $hours$ and $12$ $hours$ respectively,while a third pipe can empty it in $20$ $hours$. If the tank is empty and all three pipes are opened together,then in how much time will it take to fill the tank completely?

  • A
    $10$
  • B
    $5$
  • C
    $15$
  • D
    $20$

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