Answer:
The car traveled 16 miles per gallon in the city
Step-by-step explanation:
Speed in highway = a miles per gallon
Speed in city = b miles per gallon
The car covers a miles with 1 gallon of fuel in the highway
It will cover 462 miles with 462/a gallons of fuel in the highway
The car covers b miles with 1 gallon of fuel in the city
It will cover 336 miles with 336/b gallons of fuel in the city
The car traveled 6 fewer miles per gallon in the city than on the highway
b = a - 6
Since the speed does not change with the fuel capacity of the car
462/a = 336/b
But b = a -6
462/a = 336/(a-6)
462(a-6) = 336a
462a - 2772 = 336a
462a - 336a = 2772
126a = 2772
a = 2772/126
a = 22 miles per gallon
The car travel 22 miles per gallon in the highway
In the city, b = a -6
b = 22 -6
b = 16 miles per gallon
The car traveled 16 miles per gallon in the city
