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
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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
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Equation for level road:
(1)
Equation for winding road:
(2)
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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
