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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]

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Updated on: 03 Dec 2013, 07:23
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Question Stats:

64% (02:37) correct 36% (02:33) wrong based on 385 sessions

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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?

(A) 14
(B) 16
(C) 21
(D) 22
(E) 27

Originally posted by el1981 on 24 Mar 2008, 17:59.
Last edited by Bunuel on 03 Dec 2013, 07:23, edited 1 time in total.
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24 Mar 2008, 22:17
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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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24 Mar 2008, 18:41
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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

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25 Mar 2008, 16:55
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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]

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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

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

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03 Dec 2013, 07:23
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]

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16 Apr 2014, 01:03
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

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

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13 Jun 2015, 01:08
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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

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

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22 Oct 2017, 07:38
462 on H
336 in C

and -6m/g in city
So the difference is
462-336= 126 miles

Capacity of the fuel tank: 126/6 = 21g
So m/g in the city = 336/21
= 16 (B)
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Re: A car traveled 462 miles per tankful of gasoline on the  [#permalink]

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06 Mar 2018, 13:20
Hi All,

This question is perfect for TESTing THE ANSWERS (we're looking for an answer that divides evenly into 336 AND - when you add 6 to it - evenly divides into 462. How long would it take you to do the necessary division to find that answer?). The "math" approach to this prompt can actually be done in a number of ways, depending on how you want to set up the algebra. Here's another way:

Since a "tankful" of gasoline is the same number of gallons of gas whether driving on the highway or driving in the city, we can use a variation of the Distance Formula to create 2 equations:

462 = H(G) where H = miles/gallon on the highway and G = # of gallons

336 = C(G) where C = miles/gallon in the city and G = # of gallons

Right now, we have 3 variables and 2 equations. The last sentence gives us one more equation to work with: "the car traveled 6 fewer miles per gallon in the city than on the highway." This translates into:

C = H - 6

So now we have a "system" of equations (3 variables and 3 unique equations means that we CAN solve for all 3 variables). We're trying to solve for C…..

462 = H(G)
336 = C(G)
C = H - 6

H = C + 6 plug this into the first equation….

462 = (C+6)(G)
462 = CG + 6G

336 = CG plug this into the prior equation….

462 = 336 + 6G
126 = 6G
21 = G

**REMINDER: This is the value of G. We want the value of C.**

Plug G=21 into 336 = CG

336 = C(21)
16 = C

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

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09 Mar 2018, 03:58
Let the tank be --> x gallons.

We know that: With (x) gallons --> the car traveled 462 miles. Hence ... we want to know HOW many miles / gallon did it travel? Easy ...--> x (full) = 462 then 1 gallon = y(miles)
We apply the same for the city and we got:

(336 / x) = (462 / x) - 6 , for the prolem says that the car traveled 6 fewer miles per gallon in the ciity than on the highway.

We solve for x! We find x and then we go to (336/x) = 336/21 = 16 miles per gallon in the city.

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

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09 Mar 2018, 06:39
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

Imo B
Well this is not a tough question but the wording makes it tough to understand .Basically we have to find total number of gallons and then find rate in city B
Let x miles per galoon
Then from question stem we have 462-336=6*x
now 126=6x or x=21
miles traveled per gallon 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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09 Mar 2018, 11:15
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 g=gallons per tank
462/g-336/g=6
→g=21 gallons per tank
336/21=16 city miles per gallon
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Re: A car traveled 462 miles per tankful of gasoline on the  [#permalink]

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12 Mar 2018, 16:24
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.

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