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# how can i set this up? 20. A car traveled 462 miles per

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how can i set this up? 20. A car traveled 462 miles per [#permalink]  31 Oct 2007, 07:03
how can i set this up?

20. 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
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Re: distance problem [#permalink]  31 Oct 2007, 07:15
how can i set this up?

20. 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

i get B 16

use d = rt, then set since d and r are different we can set them up for t, which is t = d/r

so for the highway:
d=462, r = r
t = 462/r

for city:
d=336, r = r-6
t = 336 / (r-6)

set them equal to each other:
462/t = 336/ (r-6)
462r - 462*6 = 336r
126r = 2772
r= 22

they are asking for city so it is r-6 = 22-6 = 16 B
Re: distance problem   [#permalink] 31 Oct 2007, 07:15
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