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A car traveled 462 miles per tankful of gasoline on the highway and 33

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Re: A car traveled 462 miles per tankful of gasoline on the highway and 33  [#permalink]

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New post 27 Oct 2019, 15:35
I have done process of elimination with this question, if you look at the options max possible value e)27 according to the options add 6 to it check whether its multiples gives 462, only b does that because , add 6 to option b and its multiple will be 462

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Re: A car traveled 462 miles per tankful of gasoline on the highway and 33  [#permalink]

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New post 13 Mar 2020, 00:22
Some of you have given really good answers. But, I would look to see it from a different angle -- VARIATIONS.

If rate in miles per tankful full increase, rate in miles per gallon will also increase -- DIRECT VARIATION.

Let 'X' be the rate in miles per gallon for the CITY. So, for the HIGHWAY it will be (X + 6) miles per gallon

462/(x+6) = 336/x
x = 16


Answer is B.

Hope this helps!
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Re: A car traveled 462 miles per tankful of gasoline on the highway and 33  [#permalink]

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New post 03 Apr 2020, 11:06
Let x gallons be the tankful of gasoline

Miles / Gallon travelled on Highway = 462/x

Miles/Gallon travelled in city = 336/x

Difference between highway and city = 6 miles/gallon

Hence, 462/x - 336/x = 6

x (tankful of gasoline) = 21 gallons

Miles per gallon the car travelled in the city = 336/21
= 16 miles/gallon
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Re: A car traveled 462 miles per tankful of gasoline on the highway and 33  [#permalink]

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New post 20 May 2020, 02:45
JeffTargetTestPrep wrote:
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


We can create the proportion in which x = miles per gallon on the highway and (x - 6) = miles per gallon in the city.

(x - 6)/336 = x/462

462x - 2,772 = 336x

126x = 2,772

x = 22

So city mpg = 22 - 6 = 16 mpg.

Answer: B
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Re: A car traveled 462 miles per tankful of gasoline on the highway and 33  [#permalink]

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New post 28 May 2020, 01:28
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

PS06502.01

Let the number of liters for a full tank be X and number of miles per liter be N.
For highway- X*N=462 (i)
For city- X(N-6)= 336. X*N= 336-6x (ii)

Equating i & ii, x= 21. Substituting x in (i) we get N= 22, thus N-6=16.
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Re: A car traveled 462 miles per tankful of gasoline on the highway and 33   [#permalink] 28 May 2020, 01:28

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A car traveled 462 miles per tankful of gasoline on the highway and 33

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