SOLUTION: a car uses gasoline at a rate of 6.5 L /100km in the city and 5.5 L /100 km on the highway. when the car traveled 650 km, it used 40.0 L of fuel. how far did the car travel on the

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: a car uses gasoline at a rate of 6.5 L /100km in the city and 5.5 L /100 km on the highway. when the car traveled 650 km, it used 40.0 L of fuel. how far did the car travel on the       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 842352: a car uses gasoline at a rate of 6.5 L /100km in the city and 5.5 L /100 km on the highway. when the car traveled 650 km, it used 40.0 L of fuel. how far did the car travel on the highway? how far did it travel in the city. how much fuel did it use on the highway/how much fuel did it use in the city
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Uniform rates problem for fuel efficiency.
highlight_green%28R%2Av=d%29, R rate, v volume of fuel, d distance.
The unit of rate R is kilometers per liter.


_________________fuel effic.________volume_________distance
CITY_____________6.5/100______________()____________()__________
HIGHWAY__________5.5/100______________()____________()__________
TOTAL________________________________40______________650


Some missing information needs to be formulated. Assign two variables, EITHER for volumes, OR for distances. Here is my arbitrary choice:

_________________fuel effic.________volume_________distance
CITY_____________6.5/100______________(c)____________()______
HIGHWAY__________5.5/100______________(h)____________()______
TOTAL_________________________________40______________650


Use your fuel efficiency equation rule to make expressions for the distances.

_________________fuel effic.________volume_________distance
CITY_____________6.5/100______________(c)____________((6.5/100)c)
HIGHWAY__________5.5/100______________(h)____________((5.5/100)h)
TOTAL_________________________________40______________650

The table now indicates two linear equations in the variables c and h.
SYSTEM TO SOLVE
-----------------------
%286.5%2F100%29c%2B%285.5%2F100%29h=650
-----------------------
c%2Bh=40
-----------------------

The remaining arithmetic steps are for you to do. (Start by multiplying left and right sides of the distance equation by 200.)