$A$ truck covers a distance of $396 \, km$ in $5 \, hours \, 30 \, minutes$. The average speed of a bike is $\frac{4}{3}$ of the average speed of the truck. What is the time taken by the bike to cover a distance of $12 \, km$ less than the distance covered by the truck?
- A$4 \, hours$
- B$3 \, hours$
- C$5 \, hours$
- D$4 \, hours \, 15 \, minutes$
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