You are going to drive to another state for a vacation. One route will take 8 hours to drive 400 miles, and the other route will take 7 hours to drive 420 miles. You write two equations to try and figure out the average rate of speed you would travel on each route. How much higher will your average speed be on the faster route?(1 point)
Responses
50 mph
60 mph
10 mph
20 mph
To calculate the average speed for each route, we can use the formula: average speed = total distance / total time.
For the first route, with a distance of 400 miles and a driving time of 8 hours, the average speed can be calculated as follows:
average speed = 400 miles / 8 hours = 50 mph
For the second route, with a distance of 420 miles and a driving time of 7 hours, the average speed can be calculated as follows:
average speed = 420 miles / 7 hours = 60 mph
The difference in average speeds between the two routes is:
60 mph - 50 mph = 10 mph
Therefore, the average speed will be 10 mph higher on the faster route.
To find the average speed for each route, you need to calculate the speed by dividing the distance traveled by the time taken.
For the first route:
Average speed = Distance / Time = 400 miles / 8 hours = 50 mph
For the second route:
Average speed = Distance / Time = 420 miles / 7 hours = 60 mph
To determine how much higher your average speed will be on the faster route, you need to find the difference between the two speeds.
Difference = Speed of Faster Route - Speed of Slower Route = 60 mph - 50 mph = 10 mph
Therefore, your average speed will be 10 mph higher on the faster route.
To determine the average speed on each route, we can set up two equations:
Route 1: Rate = Distance / Time
Rate1 = 400 miles / 8 hours
Route 2: Rate = Distance / Time
Rate2 = 420 miles / 7 hours
Now we can calculate the average speeds for each route:
Route 1: Rate1 = 400 miles / 8 hours = 50 mph
Route 2: Rate2 = 420 miles / 7 hours = 60 mph
To find the difference in average speeds between the two routes, we subtract the average speed of Route 1 from the average speed of Route 2:
Difference = Route 2 average speed - Route 1 average speed
Difference = 60 mph - 50 mph = 10 mph
Therefore, the average speed will be 10 mph higher on the faster route.