Let's denote the average speed on the first route as v1 (in miles per hour) and the average speed on the second route as v2 (also in miles per hour).
According to the given information, the first route is 400 miles long and takes 8 hours to drive, so the equation for the first route is:
v1 = 400/8
Simplifying this equation, we get:
v1 = 50 mph
Similarly, the second route is 420 miles long and takes 7 hours to drive, so the equation for the second route is:
v2 = 420/7
Simplifying this equation, we get:
v2 = 60 mph
The average speed on the faster route (v2) is 60 mph, while the average speed on the slower route (v1) is 50 mph. Therefore, the average speed on the faster route is 10 mph higher than the average speed on the slower route.
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 answer