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On a recent trip, cindy drove her car 290 miles, rounded to

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On a recent trip, cindy drove her car 290 miles, rounded to [#permalink]

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New post 12 Oct 2008, 20:57
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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. Te 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

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Re: trip [#permalink]

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New post 12 Oct 2008, 21:06
redbeanaddict 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. Te 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


Rounded to nearest 10 miles means, the original distance was 285 to 295.
Rounded to nearest 1 gallon means, the original no of gallons used was 11.5 to 12.5

now distance divided by no. of gallons will give us the number of miles per gallon.

here we have a range of distances and a range of number of gallons. The question is asking us to determine the range of miles per gallon.

take the min distance and divide it by max no of gallons -> this will give us the lower limit of "miles per gallon"
so 285/12.5 is the lower limit.

take the max. distance and divide it by min. no of gallons -> this will give us the upper limit of "miles per gallon"
so 295/11.5 is the upper limit

the answer must be D
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Re: trip [#permalink]

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New post 12 Oct 2008, 21:37
redbeanaddict 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. Te 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



min -> possible min miles/possible max. gallons
max -> possiblemax miles/possible min gallons

that is D.
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Re: trip [#permalink]

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New post 12 Oct 2008, 22:03
Agree D.

Possible number of miles could be between 85 and 95 and possible number of gallons could be between 11.5 and 12.5.

Hence, possible number of miles per gallon could be 85/11.5, 85/12.5, 95/11.5, 95/12.5

Out of the above four, smallest value is 85/12.5 and largest value is 95/11.5 and these values define the range.

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Re: trip [#permalink]

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New post 15 Oct 2008, 18:09
D

Same explanation as amit :)

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Re: trip   [#permalink] 15 Oct 2008, 18:09
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On a recent trip, cindy drove her car 290 miles, rounded to

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