Question

A certain pickup truck gets 16 mpg in the city and 22 mpg on the highway. If a driver drives 254 mi on 14 gal of gas, determine the number of city miles and highway miles that the truck was driven.

Answer 1

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 = $\frac{254-x}{22} +\frac{x}{16}$

Equating,

  $\frac{254-x}{22} +\frac{x}{16} = 14\\ \\ 4064-16x+22x=4928\\ \\ 6x=864\\ \\ x=144 miles$

No of city miles = 144 miles

No of highway miles = 254 - 144 = 110 miles.