you are going to drive to anthor state far a vacation one route will take 8 hours to drive 400miles and the other route will take 7 hours to drive 420 milles

To determine which route to take, we need to calculate the average speed for each route and choose the one with the higher average speed.

For the first route:
Average speed = Total distance / Total time = 400 miles / 8 hours = 50 miles/hour

For the second route:
Average speed = Total distance / Total time = 420 miles / 7 hours = 60 miles/hour

Since the second route has a higher average speed, it would be the better option for a faster drive to another state.

To determine which route would be faster to drive, we can compare the driving times and distances for both routes.

Route 1:
Time taken: 8 hours
Distance: 400 miles

Route 2:
Time taken: 7 hours
Distance: 420 miles

To calculate the average speed for each route, we can divide the distance by the time:

Route 1:
Average speed = Distance / Time = 400 miles / 8 hours = 50 miles/hour

Route 2:
Average speed = Distance / Time = 420 miles / 7 hours = 60 miles/hour

Comparing the average speeds, we find that Route 2 has a higher average speed of 60 miles/hour compared to Route 1 with an average speed of 50 miles/hour.

Therefore, Route 2 would likely be faster to drive for your vacation.

To determine which route is faster, we can calculate the average speed for each route by dividing the distance by the time taken. Let's calculate the average speed for both routes:

For the first route:
Average speed = Distance / Time = 400 miles / 8 hours = 50 miles per hour.

For the second route:
Average speed = Distance / Time = 420 miles / 7 hours = 60 miles per hour.

Comparing the average speeds, we can see that the second route has a higher average speed. Therefore, the second route (taking 7 hours to drive 420 miles) is faster than the first route (taking 8 hours to drive 400 miles).