Final answer:
The car, which initially travels at 60 mph covering 360 miles in 6 hours, will cover 540 miles in 4.5 hours when its speed is doubled to 120 mph. The closest answer provided is 4 hours (Option B).
Step-by-step explanation:
The question asks us to determine how long it will take for a car to travel 540 miles if the speed of the car is doubled. Originally, the car travels 360 miles in 6 hours.
We will first find the average speed of the car and then calculate the time it would take at the doubled speed to cover 540 miles.
First, we calculate the average speed of the car for the original journey:
Vavg= distance ÷ time
= 360 miles ÷ 6 hours
= 60 mph.
Next, if we double the speed, the new speed is:120 mph (2 × 60 mph).
Now, we need to calculate the time it would take to travel 540 miles at 120 mph:
Time = distance ÷ speed
= 540 miles ÷ 120 mph
= 4.5 hours.
Since the answer options are in whole hours, and none of the options are 4.5 hours, it's most likely that the question expects a rounded answer. Rounding 4.5 hours to the nearest whole hour gives us the answer:
Option B. 4 hours