Two taps can separately fill a cistern in $10$ $minutes$ and $15$ $minutes$ respectively. When the waste pipe is open,they can together fill it in $18$ $minutes$. The waste pipe can empty the full cistern in:

  • A
    $7 \text{ minutes}$
  • B
    $9 \text{ minutes}$
  • C
    $13 \text{ minutes}$
  • D
    $23 \text{ minutes}$

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