SOLUTION: A bus traveled on a level road for 3 hrs at an average speed of 20 mph faster than it traveled on a winding road. The time spent on the winding road was 4 hrs, find the average spe
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Question 267080: A bus traveled on a level road for 3 hrs at an average speed of 20 mph faster than it traveled on a winding road. The time spent on the winding road was 4 hrs, find the average speed on the level road if the entire trip was 305 miles. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A bus traveled on a level road for 3 hrs at an average speed of 20 mph faster than it traveled on a winding road.
The time spent on the winding road was 4 hrs, find the average speed on the level road if the entire trip was 305 miles.
:
Let s = average speed on the level road
then
(s-20) = average speed on the winding road
:
Write a distance equation: Dist = time * speed
:
Lev rd dist + wind rd dist = 305 mi
3s + 4(s-20) = 305
:
3s + 4s - 80 = 305
7s = 305 + 80
7s = 385
s =
s = 55 mph, av speed on the level road
:
;
Check solution by finding the dist traveled at each speed
4(55) = 220
3(35) = 105
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total = 305; confirms our solution
