Two drivers, Shafur and Samuel left Town $$X$$ for Town $$Y$$ at the same time. They drove at an average speed of $$54 \text {km/h}$$ and $$66 \text {km/h}$$ respectively. After they drove for $$40$$ minutes, Samuel decided to turn back to Town $$X$$ to refill the petrol while Shafur continued driving at the same speed. They reached Town $$Y$$ at the same time. Find the distance between Town $$X$$ and Town $$Y$$. (Assuming the time taken to refill the petrol was negligible) 
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