$A$ takes twice as much time as $B$ and $C$ takes thrice as much time as $B$ to finish a piece of work. Working together they can finish the work in $12$ days. The number of days needed for $A$ to do the work alone is:

  • A
    $20$
  • B
    $22$
  • C
    $33$
  • D
    $44$

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