SOLUTION: When Frank Gresham drove 150 miles in the city, the fuel efficiency rating for his car was 18 miles/gallon. For highway driving, the fuel efficiency rating is 24 miles/gallon. How

Algebra.Com
Question 438390: When Frank Gresham drove 150 miles in the city, the fuel efficiency rating for his car was 18 miles/gallon. For highway driving, the fuel efficiency rating is 24 miles/gallon. How far will Frank have to drive on the highway for his car to have a fuel efficiency rating of 20 miles/gallon.
My teacher gave us this problem to work on over break and he gave us the answer of 100 miles but i dont know how to get there. I checked this website and the problem has already been answered but in the explanation it says 24 - 20 is 3 which it is obviously not so i still need help setting up the problem. thank you :D

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = highway miles he has to drive
In words:
(total miles driven)/(gallons used) = efficiency in mi/gal
-------------
given:
Gallons of gas used in city =
Gallons of gas used on highway =


Multiply both sides by

Multiply both sides by



He has to drive 100 miles on the highway
check answer:






OK

RELATED QUESTIONS

When Frank Gresham drove 150 miles in the city, the fuel efficency rating for his car was (answered by ankor@dixie-net.com)
Round your answers to the nearest cent. The table shows the fuel efficiency of four... (answered by )
Carole's car averages 12.8 miles per gallon in city driving and 21.6 miles per gallon in... (answered by josgarithmetic)
The fuel efficiency for a certain midsize car is given by E(v) = −0.011v2 +... (answered by josmiceli)
The fuel efficiency for a certain midsize car is given by E(v) = −0.016v2 + 1.376v (answered by rothauserc,josmiceli)
The fuel efficiency for a certain midsize car is given by E(v) = −0.014v2 + 1.176v (answered by ankor@dixie-net.com)
Here is a question that I was asked today by my instructor. Each person has an... (answered by richwmiller)
Jim's car gets 26 miles per gallon on the highway and 18 miles per gallon in city... (answered by josgarithmetic)
can someone please help me with this please - the fuel efficiency F for a particular... (answered by josgarithmetic,MathTherapy)