Best traveled on a level road for six hours at an average speed 20 mph faster than a traveled on a winding road the time spent on the winding road was five hours find the average speed on the level Road if the entire trip is 571 miles

x = 61 mph

the average speed on the level Road is 61 mph

Step-by-step explanation:

Let x represent Best's average speed on the level road. (In mph)

Best's average speed on the winding road = x-20

Given;

Total distance travelled = 571 miles

Time travelled on level road = 6 hours

Time travelled on winding road = 5 hours

Distance travelled = average speed * time taken

Total distance travelled can be written as

6 * (x) + 5 * (x-20) = 571

6x+5x-100 = 571

11x = 571+100

11x = 671

x = 671/11

x = 61 mph

the average speed on the level Road is 61 mph