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 2 equations to try and figure out the average rate of speed you would on each route how much higher will your average speed be on the fastest route? 10mph 20 mph 60mph 50mph

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 2 equations to try and figure out the average rate of speed you would on each route how much higher will your average speed be on the fastest route? 10mph 20 mph 60mph 50mph

Answer 1

Let's assume the average rate of speed on the first route is x mph, and the average rate of speed on the second route is y mph.

We can use the formula: average speed = distance / time.

For the first route: x = 400/8 = 50 mph.
For the second route: y = 420/7 = 60 mph.

To calculate how much higher the average speed is on the fastest route, we can subtract the average speed of the first route from the average speed of the second route: y - x = 60 - 50 = 10 mph.

Therefore, the average speed will be 10 mph higher on the fastest route.