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OG Problem Solving Q129

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Intern
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OG Problem Solving Q129 [#permalink]

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New post 23 Oct 2008, 07:19
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

I am having a hard time understanding the answer to this question. Could someone help me out?

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 onthis trip must have been between

(A) 290/12.5 and 290/11.4

(B) 295/12 and 284/11.4

(C) 284/12 and 295/12

(D) 284/12.5 and 295/11.4

(E) 295/12.5 AND 284/11.4

So I thought that when you rounded, if it is 5 or higher you go up, 4 or below you go down. So I wrote down 285 to 294 would be the range for the miles and 11.5 to 12.4 for the gasoline. Well the OG has D as the answer and I do not understand why they would choose 284, 295 and 11.4, 12.5.

Could someone show me where I went wrong here? Thanks!

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Re: OG Problem Solving Q129 [#permalink]

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New post 23 Oct 2008, 10:35
D

Well you are right, the number of miles should be between 285/12.4 and 294/11.5

And D satisfies that solution

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Re: OG Problem Solving Q129 [#permalink]

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New post 23 Oct 2008, 10:47
So this is just an error in the book?

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Re: OG Problem Solving Q129 [#permalink]

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New post 23 Oct 2008, 10:50
I don't think there is an error
it is making you use the full 2 minutes to the dot :)

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Re: OG Problem Solving Q129 [#permalink]

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New post 23 Oct 2008, 10:59
mdavis,

My book has the following options (OG11)
(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: OG Problem Solving Q129   [#permalink] 23 Oct 2008, 10:59
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OG Problem Solving Q129

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