Answer:
the volume of the gas used for city driving is 17 gallons
Step-by-step explanation:
Given;
average speed for city driving, v₁ = 17.1 miles per gallon
average speed for highway driving, v₂ = 24.7 miles per gallon
total distance traveled, d = 513 miles
total gallon of gas used, t = 26 gallons
Let the volume of gas used for city driving = x
Also, let the volume used for highway driving = y
x + y = 26 -------- (1)
17.1x + 24.7y = 513 ------------(2)
From equation (1); y = 26 - x
Substitute the value of y in equation (2)
17.1x + 24.7(26-x) = 513
17.1x + 642.2 - 24.7x = 513
17.1x - 24.7x = 513 - 642.2
-7.6x = -129.2
x = 129.2/7.6
x = 17 gallons
Therefore, the volume of the gas used for city driving is 17 gallons
