Final answer:
Your friend needs to drive 10 miles per hour faster to cover 300 miles in the same time it takes you to drive 240 miles, which is 6 hours.
Step-by-step explanation:
To solve the problem, we first need to determine your average speed for the 240 miles trip in 6 hours. This can be found using the formula:
Vavg = distance ÷ time
For your trip, Vavg = 240 miles ÷ 6 hours = 40 mph.
Now, since your friend needs to drive 300 miles in the same amount of time (6 hours), we need to find the speed your friend must travel at:
Your friend's speed = 300 miles ÷ 6 hours = 50 mph.
To find out how much faster your friend needs to drive, we subtract your speed from your friend's speed:
50 mph - 40 mph = 10 mph faster
Therefore, your friend needs to drive 10 miles per hour faster to cover 300 miles in the same time it takes you to drive 240 miles.