Unique Distance Problem

[bretania]

I am not very familiar with this kind of distance problem. Have you guys seen problems similar to this in your review?

If someone could please solve and offer some explanation, that would be great!

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

[Crack_Mat]

According to me answer is B 16.

[sksgill]

Originally Posted by bretania

I am not very familiar with this kind of distance problem. Have you guys seen problems similar to this in your review?

If someone could please solve and offer some explanation, that would be great!

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

answer is B

Let x be capacity of tank
y is the mileage (km/galon) on highway

xy= 462
and
x(y-6)= 336 i.e. xy-6x=336
subtracting the 2 equations
6x=126
x=21

thus y = 462/21= 22
mileage in city is y-6= 16
B

hope it helped

[bretania]

Sksgill, thank you! Your solution is simple and easy to understand.

[sksgill]

its a pleasure bretania...

[Dr_GMAT]

Answer is B. 16

[smallbee]

x, y is the miles he traveled in highway and in city respectively.
x-6=y

Using the same capacity of gasoline to traveling, hence
462/x=336/y => 462/x=336/(x-6) => x/(x-6)=462/336=11/8

=> 11x-66=8x -> 3x=66 -> x=22, hence y=16.

Answer is B