The speed of a train is $$2\frac{1}{6}$$ times the speed of a car. The car covers 486 km in 9 hours. How much distance will the train cover in 6 hours?

As per the given question,

Speed of train$$=2\dfrac {1}{6} x = \dfrac{13}{6}x $$

Total distance covered by the car $$( x) = 486km$$

Total time taken by the car to cover the given distance $$(t)=9hour$$

Hence the speed of the car will be $$=\dfrac{486}{9}km/hour=54km/hour$$

Hence, speed of train will be $$= 54 \times \dfrac {13}{6}= 117 km/hr $$

Hence, the total distance covered by the train in 6 hour will be$$=117 \times 6= 702 km$$