A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road was 3 hours. Find the average speed on the level triad if the entire trip was 252 miles

Answer: 52 mph

Step-by-step explanation:

Assume the following:

a = average speed traveled on level road

(a - 20) = average speed traveled on winding road

Recall:

Distance = speed * time

Total distance traveled:

Level road distance + winding road distance = 252 miles

3a + 3 (a - 20) = 252

3a + 3a - 60 = 252

6a = 252 + 60

6a = 312

a = 52 mph on a level triad

65 mph on level road

Step-by-step explanation:

Set b as average speed on the level road and (b-20) = average speed on the winding road

Distance = speed * time

Level Road distance + winding road dististance = 285 miles

Substituting b and (b-20), we have,

3b + 2 (b-20) = 285

3b + 2b - 40 = 285

5b = 285 + 40

5b = 325

b = 325/5

b = 65 mph on level road