SOLUTION: Two gasoline distributors, A and B, are 367 km apart on a highway.A charges $1.80/L and B charges $1.68/L. Each charges 0.16¢/L per kilometre for delivery. Where on Interstate 80 i
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Question 576189: Two gasoline distributors, A and B, are 367 km apart on a highway.A charges $1.80/L and B charges $1.68/L. Each charges 0.16¢/L per kilometre for delivery. Where on Interstate 80 is the cost to the customer the same?
Sir,
I didn't get what is meant by "Interstate 80 is the cost to the customer the same".Even then I tried to solve as follows.
(1.80*0.16)*x=80
(1.68*0.16)*y=80
giving x=277.77 and y=297
I think I have messed it up and cant find the solution.It will be kind of you if you you can help me out in this regards.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Read the question a little differently. As in, " 'Where on Interstate 80' is the cost to the customer the same?" Interstate 80 is the name of a highway; I don't know how you put 80 into your equation.
It doesn't say how many gallons you buy, so assume you intend to buy L liters. Suppose you are x kilometers from station A. Then you are 367-A kilometers from station B.
A will charge
B will charge
)
.
Note the .16Lx is because it is 16 cents *per liter* *per kilometer*.
These two are equal:
)
The L's cancel. The nice thing about this is that which station is cheaper does not depend on how many liters you buy.
)
You can solve for x. You should get x = 183.125 (this is 183.125 km from station A), and this is almost exactly halfway between A and B.
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