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)

Question

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

Answer 1

The correct answer is 10 mph.

First, let's calculate the average speed on the first route. The equation is:
Average Speed = Total Distance / Total Time
Average Speed = 400 miles / 8 hours
Average Speed = 50 mph

Now, let's calculate the average speed on the second route. The equation is:
Average Speed = Total Distance / Total Time
Average Speed = 420 miles / 7 hours
Average Speed = 60 mph

The average speed on the second (faster) route is 60 mph, which is 10 mph higher than the average speed on the first route.

Answer 2

To find the average speed, you can use the formula: Average Speed = Total Distance / Total Time.

For the first route, the distance is 400 miles and the time is 8 hours. The equation can be written as:
x = 400 / 8,
where x represents the average speed in mph.

To solve for x, divide 400 by 8:
x = 50 mph.

For the second route, the distance is 420 miles and the time is 7 hours. The equation can be written as:
y = 420 / 7,
where y represents the average speed in mph.

To solve for y, divide 420 by 7:
y = 60 mph.

Comparing the two average speeds, the average speed on the faster route (second route) is higher by:
60 mph - 50 mph = 10 mph.

Answer 3

To calculate the average speed on each route, you need to divide the total distance traveled by the total time taken.

For the first route, the distance is 400 miles and the time taken is 8 hours. So, the average speed can be calculated as:
Average Speed = Distance / Time = 400 miles / 8 hours = 50 mph

For the second route, the distance is 420 miles and the time taken is 7 hours. So, the average speed can be calculated as:
Average Speed = Distance / Time = 420 miles / 7 hours = 60 mph

Therefore, the average speed on the faster route is higher by 10 mph compared to the slower route.