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
60 mph
60 mph
10 mph
10 mph
20 mph
20 mph
50 mph
The correct answer for this question is: 10 mph
A candy store sells different types of candy by the ounce. Red Snaps cost $0.25 per ounce, and Blue Tarts cost $0.30 per ounce. You decide to buy 8 ounces of candy to share with your friends. How much more expensive would it be to get a bag of Blue Tarts instead of a bag of Red Snaps?(1 point)
Responses
$2.40
$2.40
$2.00
$2.00
$4.40
$4.40
$0.40
To calculate the price difference between Red Snaps and Blue Tarts, we need to subtract the cost of Red Snaps from the cost of Blue Tarts.
For Red Snaps:
8 ounces * $0.25/ounce = $2.00
For Blue Tarts:
8 ounces * $0.30/ounce = $2.40
The price difference is:
$2.40 - $2.00 = $0.40
Therefore, it would be $0.40 more expensive to get a bag of Blue Tarts instead of a bag of Red Snaps.
To find the average speed, we need to divide the total distance traveled by the total time taken.
For the first route:
Average speed = Total distance / Total time
Average speed = 400 miles / 8 hours
Average speed = 50 mph
For the second route:
Average speed = Total distance / Total time
Average speed = 420 miles / 7 hours
Average speed = 60 mph
The average speed on the faster route is 60 mph, while the average speed on the slower route is 50 mph. Therefore, the difference in average speed is 60 mph - 50 mph = 10 mph.
So, your average speed will be 10 mph higher on the faster route.