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by hey_thr67 » Wed Jun 27, 2012 4:10 am
On a recent trip, Cindy drove her car 290 miles, rounded to the nearest 10 miles, and used 12 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Cindy's car got on this trip must have been between

(A) 290/12.5 and 290/11.5
(B) 295/12 and 285/11.5
(C) 285/12 and 295/12
(D) 285/12.5 and 295/11.5
(E) 295/12.5 and 285/11.5


OA is D
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by Anurag@Gurome » Wed Jun 27, 2012 4:26 am
hey_thr67 wrote:On a recent trip, Cindy drove her car 290 miles, rounded to the nearest 10 miles, and used 12 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Cindy's car got on this trip must have been between
Minimum distance Cindy could've traveled = 285 miles
Maximum distance Cindy could've traveled = 294 miles

Minimum volume of gasoline Cindy could've used = 11.5 gallons
Maximum volume of gasoline Cindy could've used = 12.4 gallons

Minimum number of miles per gallon = (minimum distance)/(maximum volume of gasoline) = 285/12.4
Maximum number of miles per gallon = (maximum distance)/(minimum volume of gasoline) = 294/11.5

Closes option is D.
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