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A car traveled 462 miles per tankful of gasoline on the

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A car traveled 462 miles per tankful of gasoline on the [#permalink] New post 24 Mar 2008, 16:59
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Question Stats:

64% (02:00) correct 36% (08:08) wrong based on 235 sessions
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
[Reveal] Spoiler: OA

Last edited by Bunuel on 03 Dec 2013, 06:23, edited 1 time in total.
Added the OA.
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Re: PS:gasoline [#permalink] New post 24 Mar 2008, 17:41
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Let the speed in highway be h mpg and in city be c mpg.
h = c+6

h miles are covered in 1 gallon
462 miles will be covered in 462/h.

Similarly c miles are covered in 1 gallon
336 miles will be covered in 336/c.

Both should be same (as car's fuel capacity does not change with speed)
=> 336/c = 462/h
=> 336/c = 462/(c+6)
=> 336c+336*6=462c
=>c=336*6/126=16

Answer B.
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Re: PS:gasoline [#permalink] New post 24 Mar 2008, 21:17
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B-16

car traveled additional 462-336=126 miles on highway because it got 6 miles/gallon additional mileage. So it consumed 126/6=21 gallons.

car mileage in city = 336/21 = 16 miles/gallon (same amount of gallons are were used on highway and in the city)
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Re: PS:gasoline [#permalink] New post 25 Mar 2008, 15:55
mpg(c) = 336/m

mpg(h) = 462/m

336/m=462/m - (6)

solve for m to get m=21. plug back into 336/21 to get 16
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Re: A car traveled 462 miles per tankful of gasoline on the [#permalink] New post 03 Dec 2013, 05:19
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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

Answer is B

Hope its clear
Cheers
J :)
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Re: A car traveled 462 miles per tankful of gasoline on the [#permalink] New post 03 Dec 2013, 06:23
Expert's post
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


Similar question to practice: a-certain-car-averages-25-miles-per-gallon-of-gasoline-when-128139.html
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Re: A car traveled 462 miles per tankful of gasoline on the [#permalink] New post 16 Apr 2014, 00:03
Distance traveled in highway=distance traveled in city +6 (As given in question)

suppose measurement of gallon is x.

462/x=336/x+6; x=21

As question as asking about per gallon in city so =336/21=16
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Re: A car traveled 462 miles per tankful of gasoline on the [#permalink] New post 12 Jun 2015, 23:18
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A car traveled 462 miles per tankful of gasoline on the [#permalink] New post 13 Jun 2015, 00:08
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Expert's post
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


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


Answer: Option
[Reveal] Spoiler:
B

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A car traveled 462 miles per tankful of gasoline on the   [#permalink] 13 Jun 2015, 00:08
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