$A$ tap can fill a tank in $25$ $minutes$ and another can empty it in $50$ $minutes$. Find out whether the tank will be filled up or emptied and in how many $minutes$?

  • A
    The tank is filled up in $50$ $minutes$.
  • B
    The tank is emptied in $25$ $minutes$.
  • C
    The tank is filled up in $25$ $minutes$.
  • D
    None of these

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Two pipes $A$ and $B$ can fill a tank in $15$ hours and $20$ hours respectively,while a third pipe $C$ can empty the full tank in $25$ hours. All three pipes are opened in the beginning. After $10$ hours,pipe $C$ is closed. Find the total time (in hours) in which the tank will be full.

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