Final answer:
To find out how much time the car would take, calculate the truck's average speed (47 km/h), add 18 km/h to get the car's average speed (65 km/h), and then divide the new distance (390 km) by the car's average speed, resulting in 6 hours (option A).
Step-by-step explanation:
To solve the problem, we first need to find the average speed of the truck. We know that the truck covers a distance of 376 km in 8 hours, so:
Average speed of the truck = distance / time
= 376 km / 8 h
= 47 km/h.
The car has an average speed of 18 km/h more than the truck, so:
Average speed of the car = 47 km/h + 18 km/h
= 65 km/h.
Next, we find the time it would take for the car to cover the new distance, which is 14 km more than that traveled by the truck.
New distance for the car = 376 km + 14 km
=390 km.
Time taken by the car = distance / average speed
= 390 km / 65 km/h.
Thus, Time taken by the car = 6 hours.
The correct option for how much time the car will take is A. 6 hours.