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Manager
Joined: 05 Sep 2007
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A car traveled 462 miles per tankful of gasoline on the [#permalink]
 24 Mar 2008, 17:59
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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
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Director
Joined: 10 Sep 2007
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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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Senior Manager
Joined: 15 Aug 2007
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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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SVP
Joined: 28 Dec 2005
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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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