$A$ tap can fill a tank in $6$ $h$. After half the tank is filled,three more similar taps are opened. What is the total time taken to fill the tank completely?

  • A
    $4$ $h$
  • B
    $4$ $h$ $15$ $min$
  • C
    $3$ $h$ $15$ $min$
  • D
    $3$ $h$ $45$ $min$

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Two taps $A$ and $B$ can fill a tank in $10$ $hours$ and $12$ $hours$ respectively. If both taps are opened at $10 \text{ am}$,at what time (in $\text{pm}$) should tap $A$ be closed so that the tank is completely filled at exactly $4 \text{ pm}$?

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