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 in the faster route
A. 20 mph
B. 10 mph
C. 50 mph
D.60 mph
To calculate the average speed, we use the formula:
Average Speed = Distance / Time
Using the first route, where the distance is 400 miles and the time is 8 hours, we have:
Average Speed = 400 miles / 8 hours = 50 mph
Using the second route, where the distance is 420 miles and the time is 7 hours, we have:
Average Speed = 420 miles / 7 hours = 60 mph
Therefore, the average speed will be higher by 10 mph on the faster route.
Answer: B. 10 mph
To calculate the average speed, you can divide the total distance traveled by the total time taken. Let's calculate the average speeds for both routes.
Route 1:
Time taken (in hours) = 8 hours
Distance traveled (in miles) = 400 miles
Average speed = Distance/Time = 400 miles / 8 hours = 50 mph
Route 2:
Time taken (in hours) = 7 hours
Distance traveled (in miles) = 420 miles
Average speed = Distance/Time = 420 miles / 7 hours = 60 mph
To find out how much higher the average speed will be in the faster route, we subtract the average speed of Route 1 from the average speed of Route 2:
Difference in average speeds = 60 mph - 50 mph = 10 mph
Therefore, the answer is B. 10 mph.
To find the average speed for each route, we can use the formula: speed = distance / time.
For the first route, the distance is 400 miles and the time is 8 hours. So we can write the equation as:
speed1 = 400 miles / 8 hours
For the second route, the distance is 420 miles and the time is 7 hours. Writing the equation:
speed2 = 420 miles / 7 hours
Now let's calculate the average speeds:
speed1 = 400 miles / 8 hours
= 50 miles per hour
speed2 = 420 miles / 7 hours
= 60 miles per hour
Therefore, the average speed will be 10 mph higher on the faster route.
The answer is B. 10 mph.