If the cost of gasoline is $$2\mathrm{.}50$ per gallon, how far out of your way $($one way$)$ could you afford to drive $($in miles$)$ to a service station that has gasoline at $$2\mathrm{.}25$ per gallon if your vehicle gets $30$ miles per gallon and you will fill up with $20$ gallons of fuel? Consider only the cost of gasoline in vehicle driving cost.

Hints: Find the profit $($possible savings$).$ Then find the variable costs $($in $$/$mile$).$ Next, find Q $($miles$).$ Lastly, since you are going out of your way, you must drive back the same distance, so divide Q by two.