Three taps $A, B$ and $C$ can fill a tank in $12, 15$ and $20$ hours respectively. If $A$ is kept open all the time,and $B$ and $C$ are opened for one hour each alternately,how long will it take to fill the tank?

  • A
    $6 \text{ hours}$
  • B
    $6 \frac{2}{3} \text{ hours}$
  • C
    $5 \frac{2}{3} \text{ hours}$
  • D
    $7 \text{ hours}$

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