Question

In 2010, Car A was the highest mileage car available in a country. It's estimated highway mileage was 4 miles per gallon more than car B . if the two cars could travel a total of 90 miles on a gallon of gasoline, find the mileage of each car.​

Answer 1

Car B = 43 miles per gallon

Car A = 43+4=47 miles per gallons

Explanation:

Let the mileage of Car B be x miles per gallon

Hence the mileage of Car A will be x+4 miles per gallon

Distance traveled by each car in 1 gallon

Car A = x+4

Car B = x

Total Distance covered by both car in 1 gallon = x+(x+4) which is given as 90 miles

Hence x+(x+4)=90

2x+4=90

2x=86

dividing both sides by 2 we get

x=43

Mileage of Car B = 43 miles per gallon

Mileage of Car A = 43+4=47 miles per gallons