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
50 mph
10 mph
10 mph
20 mph
20 mph
60 mph
The correct answer is 10 mph.
To calculate the average speed, you divide the total distance traveled by the total time taken.
For the first route, the average speed can be calculated as:
Average speed = 400 miles / 8 hours = 50 mph
For the second route, the average speed can be calculated as:
Average speed = 420 miles / 7 hours = 60 mph
The average speed on the second route is 10 mph higher than the first route.
To figure out the average speed for each route, we can use the formula:
Average Speed = Total Distance / Total 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
So the average speed on the faster route will be 60 mph, which is 10 mph higher than the average speed on the slower route.
To find the average speed on each route, you need to divide the total distance by the total time taken.
For the first route, it takes 8 hours to drive 400 miles. So, the average speed would be 400 miles / 8 hours = 50 mph.
For the second route, it takes 7 hours to drive 420 miles. Therefore, the average speed would be 420 miles / 7 hours = 60 mph.
Comparing the average speeds of the two routes, the average speed on the faster route (route 2) is 60 mph, while the average speed on the slower route (route 1) is 50 mph. Thus, the average speed on the faster route is higher by 10 mph.