Two pipes can fill a tank in $20$ and $24$ $minutes$ respectively and a waste pipe can empty $3$ $gallons$ per $minute$. All the three pipes working together can fill the tank in $15$ $minutes$. The capacity of the tank is?

  • A
    $60 \text{ gallons}$
  • B
    $100 \text{ gallons}$
  • C
    $120 \text{ gallons}$
  • D
    $180 \text{ gallons}$

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$A$ tap takes $36$ hours extra to fill a tank due to a leakage equivalent to half of its inflow. In how many hours can the inlet pipe alone fill the tank?

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