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 60 mph 60 mph 10 mph 10 mph 50 mph
To figure out the average rate of speed for each route, we can use the formula:
Average Speed = Total Distance / Total Time
For the first route, the total distance is 400 miles and the total time is 8 hours.
So, the average speed for the first route is:
Average Speed = 400 miles / 8 hours = 50 mph.
For the second route, the total distance is 420 miles and the total time is 7 hours.
So, the average speed for the second route is:
Average Speed = 420 miles / 7 hours = 60 mph.
Therefore, the average speed on the faster route is 60 mph, which is 10 mph higher than the average speed on the slower route.
To find the average speed, we can use the formula: average speed = distance / time.
For the first route:
Average speed = 400 miles / 8 hours = 50 mph
For the second route:
Average speed = 420 miles / 7 hours = 60 mph
The average speed on the faster route is 10 mph higher than the first route.
To find the average speed on each route, we need to divide the total distance traveled by the time it takes to travel that distance. Let's write the equations for each route.
For the first route:
Average speed = total distance / time
Average speed = 400 miles / 8 hours
For the second route:
Average speed = total distance / time
Average speed = 420 miles / 7 hours
Now, let's calculate the average speeds:
For the first route:
Average speed = 400 miles / 8 hours
Average speed = 50 mph
For the second route:
Average speed = 420 miles / 7 hours
Average speed = 60 mph
Therefore, the average speed on the faster route is 60 mph, and on the slower route, it is 50 mph. The average speed is higher on the faster route by 10 mph.