Answer:
No of city miles = 144 miles
No of highway miles = 110 miles.
Explanation:
Total distance traveled = 254 miles
Mileage of pickup truck in city = 16 mpg
Mileage of pickup truck in highway = 22 mpg
Total gas used = 14 gal
Let x be the number of city miles,
We have number of highway miles = 254-x
So gas used = [tex]\frac{254-x}{22} +\frac{x}{16}[/tex]
Equating,
[tex]\frac{254-x}{22} +\frac{x}{16} = 14\\ \\ 4064-16x+22x=4928\\ \\ 6x=864\\ \\ x=144 miles[/tex]
No of city miles = 144 miles
No of highway miles = 254 - 144 = 110 miles.
