$A$ can do a piece of work in $30$ days while $B$ can do it in $40$ days. In how many days can $A$ and $B$ working together do it?

  • A
    $42 \frac{3}{4}$
  • B
    $27 \frac{1}{7}$
  • C
    $17 \frac{1}{7}$
  • D
    $70$

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