Question

The 2017 Toyota Prius is EPA-rated at 54 mi/gal (miles per gallon) for city driving and 50 mi/gal for highway driving. The 2017 Toyota Yaris is rated at 30 mi/gal city and 36 mi/gal highway. How many gallons of gas, to the nearest tenth, would each vehicle consume for:(A) 300 mi of city driving plus 100 mi of highway driving.(B) 100 mi of city driving plus 300 mi of highway driving.

Answer 1

A) For 300 mi of city driving plus 100 mi of highway driving:

Toyota Prius will need

`\frac{300\text{ mi}}{54\text{ mi/gal}}+\frac{100\text{ mi}}{50\text{ mi/gal}}=5.6\text{gal}+2\text{gal}=7.6\text{gal}`

Toyota Yaris will need

`\frac{300mi}{30\text{ mi/gal}}+\frac{100mi}{36\text{ mi/gal}}=10gal+2.8gal=12.8gal`

B) For 100 mi of city driving plus 300 mi of highway driving:

Toyota Prius will need

`\frac{100mi}{54\text{ mi/gal}}+\frac{300mi}{50\text{ mi/gal}}=1.9gal+6gal=7.9gal`

Toyota Yaris will need

`\frac{100mi}{30\text{ mi/gal}}+\frac{300mi}{36\text{ mi/gal}}=3.3gal+8.3gal=11.6\text{gal}`