auniyal wrote:

Hi fellows,

I came across this problem, just wanted to know if there is a better way of solving this problem then the approach I had:

1. A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 6 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?

(A) 14

(B) 16

(C) 21

(D) 22

(E) 27

MyStrategy:

consider,

m = miles traveled per gallon AND g = no. of gallons

mg = 462 (I)

(m-6)g = 336 (II)

Solving eq I and and II

We get, (Solving I and II consumed lot of time)

m = 336 / 21

Now miles/ gallon in city is

336 / 21 â€“ 6 = 16

Here is how I would set up the equation.

mpg(highway) - mpg(city) = 6

Assuming n = full tank gallon of this car

mpg(highway) = 462(mile) / n (gallon) = 462/n mpg

mpg(city) = 336 (mile) / n (gallon) = 336/n mpg

So,

(462/n) - (336/n) = 6

462 - 336 = 6n

n = 126/6 = 21 gallon

mpg(city) = 336/21 = 16 mpg.