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A car traveled 462 miles per tankful of gasoline on the [#permalink]

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24 Mar 2008, 17:59

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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?

Re: A car traveled 462 miles per tankful of gasoline on the [#permalink]

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03 Dec 2013, 06:19

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el1981 wrote:

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

Let x be a tankful of gas

462/x - 336/x = 6

462-336 = 6x x = 21

So a tankful of gas contains 21 gallons

Then in the city miles per gallon will be 336/21 = 16

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 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

Solution without making complex Algebraic equations

462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city.

i.e. Difference of Miles per tankful of gasoline = 462 - 336 = 126 miles

Given : 6 fewer miles per gallon in the city than on the highway

i.e. Difference of 6 miles comes in one gallon when car travels on Highway and in City so Difference of 126 miles will come in = 126/6 = 21 gallons

i.e. Car travels 336 miles in 21 gallons in City

i.e. Mileage of car in City = 336/21 = 16 Miles per gallon

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Re: A car traveled 462 miles per tankful of gasoline on the [#permalink]

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03 Sep 2016, 09:55

let x be the tank capacity mileage in hwy: 462/x mileage in cty: 336/x now the relationship between the two 462/x=336/x+6, solve x = 126/6 = 21. mileage in cty = 336/21 = 16 -------------------------------------------- another way :- equate the tank of gas: tank of gas = miles travelled/mileage 336/c = 436/(c+6) solve c = 16

A car traveled 462 miles per tankful of gasoline on the [#permalink]

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03 Sep 2016, 11:55

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?

336/462=56/77 let x=city mpg x/(x+6)=56/77 x=16 mpg