SOLUTION: On a 1287 mile long road trip in windy conditions, a family calculates their fuel economy to be 18 miles per gallon over the 2 days it takes to reach their destination. On their 2-

Algebra ->  Rational-functions -> SOLUTION: On a 1287 mile long road trip in windy conditions, a family calculates their fuel economy to be 18 miles per gallon over the 2 days it takes to reach their destination. On their 2-      Log On


   

Question 638389: On a 1287 mile long road trip in windy conditions, a family calculates their fuel economy to be 18 miles per gallon over the 2 days it takes to reach their destination. On their 2-day return trip, with a similar wind at their backs, their calculations show a fuel economy of 26 miles per gallon. Calculate the expected fuel economy of their vehicle in ideal (non-windy) conditions (f) as well as the influence of the wind (w) in miles per gallon.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+f+-+w+=+18+
+f+%2B+w+=+26+
Add the equations
+2f+=+44+
+f+=+22+ mi/gal
and
+f+-+w+=+18+
+22+-+w+=+18+
+w+=+22+-+18+
+w+=+4+ mi/gal
I think the 1287 mi information is not
needed for the problem