SOLUTION: A bus traveled on a level road for 5 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 t

Question 857337: A bus traveled on a level road for 5 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 road if the entire trip was 452 miles.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the bus's speed on the winding road
= the bus's speed on the level road
Let = distance traveled on the winding road
= distance traveled on the level road
------------------------------------------
Equation for level road:
(1)
Equation for winding road:
(2)
--------------------------
Substitute (2) into (1)
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
----------------
(1)
The average speed for the level road is:

mi/hr
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
OK

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