SOLUTION: A bus travel on a level road for three hours at an average speed of 20 mph faster than it traveled on a winding road. the time spent on the winding road was three hours. find the a

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Question 1145222: A bus travel on a level road for three hours at an average speed of 20 mph faster than it traveled on a winding road. the time spent on the winding road was three hours. find the average speed of the level Road if the entire trip was 306 miles
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Ave speed = [ total distance traveled ] / [ total time spent traveling ]
Let = speed min in mi/hr on winding road
= speed in mi/hr on level road
Let = distance traveled on winding road
-----------------------------------------------------
On winding road:
(1)
On level road:
(2)
----------------------------------------
(2)
(2)
----------------------------------
Plug (1) into (2)
(2)
(2)
(2)
mi/hr
The ave speed on the level road is 61 mi/hr
check:
(1)
(1)
(1) mi
(2)
(2)
(2)
(2)


Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.

The total distance equation is

    3r + 3*(r-20) = 306

where "r" is the value under the question.


Hence,


    3r + 3r - 60 = 306

    6r           = 306 + 60 = 366

     r                      = 366/6 = 61 mph.


ANSWER.  The average rate of the bus on the level road was 61 mph.

Solved.


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