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You plan to drive 240 miles in 6 hours. If your friend wants to drive

300 miles, how many miles per hour faster would your friend have
to drive to get there at the same time as you?

User Pethel
by
7.3k points

1 Answer

3 votes

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.

User Robert Harris
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7.9k points