Gnork venit, vidit, et dixit:
> 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?
Let x = number of gallons in the tank.
mpg = number of miles driven / number of gallons in the tank
mpg on highway = mpg on city + 6
462/x = 336/x + 6
(multiply everything by x)
462 = 336 + 6x
(subtract 336 from both sides)
126 = 6x
(divide both sides by 6)
21 = x
(So, if the math is right, the tank holds 21 gallons.
That seems like a lot for "a car" -- perhaps I made
a mistake somewhere?)
The question asks for the mpg in the city. If the tank
holds 21 gallons, then the mpg in the city should be
336 / 21 = 16.
16 mpg in the city.
(Not a particularly good mpg for "a car," but if
the tank holds 21 gallons, it's probably a pretty
large "car").
Let's check our answer. 16 mpg in the city would
imply 22 mpg on the highway (we get 6 more miles per
gallon on the highway). With 21 gallons of gas,
16 mpg would give us 336 miles and 22 mpg would give
us 462 miles. That fits the problem.
16 mpg in the city.
Catch you later.
--Robert Machemer
PS: So, out of curiosity, are you considering getting a
new car? I bought a prius recently -- after my car was
totalled in an accident -- and am very happy with it.
It also gets 2-3 times better mileage than the above, if
it matters
--
Robert Paul Aubrey Machemer | For each time he falls, he shall
Amherst College, Math & Classics | rise again, and woe to the wicked!
IF22: Cliff wins best film, cast | --Don Quixote (Man of La Mancha)
"Can't complain; had his chance, and in modern parlance, blew it."
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