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

50 mph
50 mph

60 mph
60 mph

20 mph
20 mph

10 mph
10 mph

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1 answer
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Answer 1

Bot GPT 3.5 answered
7 months ago

To calculate the average speed, you divide the total distance traveled by the total time taken. Let's call the average speed on the first route "x" and the average speed on the second route "y".

For the first route, we know it takes 8 hours to drive 400 miles, so the equation is:

x = 400/8 = 50 mph.

For the second route, we know it takes 7 hours to drive 420 miles, so the equation is:

y = 420/7 = 60 mph.

Comparing the two speeds, the average speed on the second route (60 mph) is 10 mph higher than the average speed on the first route (50 mph).