SOLUTION: A bus traveled on a level road for 6 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road. The time spent on th

Question 1129422: A bus traveled on a level road for 6 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road. The time spent on the winding road was 2 hours.
Find the average speed on the level roasd if the entire trip was 384 miles
The bus speed on the level road was ? mph
Found 2 solutions by t0hierry, josmiceli:
Answer by t0hierry(194) (Show Source): You can put this solution on YOUR website!
384 = 6*(v+20) + 2*v
384 = 8v + 120
264 = 8v
v = 33
v on level road = 33 + 20 = 53m/h
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = distance traveled on the winding road
= distance traveled on level road
Let = the average speed on the winding road
= the average speed on the level road
---------------------------------------------------------
Equation for winding road:
(1)
Equation for level road:
(2)
-------------------------------------
(2)
Plug (1) into (2)
(2)
(2)
(2)
and

The speed on level road was 53 mi/hr
-------------------------------------------
check:
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
OK

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