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 20 mph 20 mph 10 mph 10 mph 60 mph 60 mph 50 mph
To find the average rate of speed on each route, we can use the formula:
Average Speed = Total Distance / Total Time
For the first route, where it takes 8 hours to drive 400 miles:
Average Speed = 400 miles / 8 hours = 50 mph
For the second route, where it takes 7 hours to drive 420 miles:
Average Speed = 420 miles / 7 hours = 60 mph
Therefore, the average speed will be 10 mph higher on the faster route.
To determine the average speed on each route, we can use the formula Speed = Distance / Time. Let's calculate the average speeds for each route:
Route 1:
Speed = Distance / Time
Speed = 400 miles / 8 hours
Speed = 50 mph
Route 2:
Speed = Distance / Time
Speed = 420 miles / 7 hours
Speed = 60 mph
The average speed on the faster route (Route 2) is 60 mph, which is 10 mph higher than the average speed on the slower route (Route 1). Therefore, your average speed will be 10 mph higher on the faster route.
To find the average speed on each route, we need to divide the total distance traveled by the time taken to travel that distance.
For the first route:
Average speed = total distance / time taken = 400 miles / 8 hours
For the second route:
Average speed = total distance / time taken = 420 miles / 7 hours
Calculating the values:
For the first route:
Average speed = 400 miles / 8 hours = 50 mph
For the second route:
Average speed = 420 miles / 7 hours = 60 mph
So, the average speed on the faster route is 60 mph, which is 10 mph higher than the average speed on the slower route.