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Andrew drove his truck 100 miles, rounded to the nearest 10

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Joined: 11 Aug 2012
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Andrew drove his truck 100 miles, rounded to the nearest 10 [#permalink] New post 04 Jan 2013, 07:23
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73% (01:44) correct 26% (01:33) wrong based on 45 sessions
Andrew drove his truck 100 miles, rounded to the nearest 10 miles, and used 10 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Tom’s truck got on this vacation trip must have been between

A. \frac{100}{10.5} and \frac{100}{9.5}

B. \frac{95}{10.5} and \frac{105}{9.5}

C. \frac{95}{9.5} and \frac{105}{10.5}

D. \frac{105}{10} and \frac{95}{9.5}

E. \frac{105}{10.5} and \frac{95}{9.5}

In the correct answer, I don't understand why the upper limit for gallons is 10.5. If it is 10.5, that number would be rounded to eleven.
The same with the upper limit for milles. If it is 105, that number would be rounded to 110.
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Re: Andrew drove his truck 100 miles, rounded to the nearest 10 [#permalink] New post 04 Jan 2013, 07:26
Expert's post
danzig wrote:
Andrew drove his truck 100 miles, rounded to the nearest 10 miles, and used 10 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Tom’s truck got on this vacation trip must have been between

A. \frac{100}{10.5} and \frac{100}{9.5}

B. \frac{95}{10.5} and \frac{105}{9.5}

C. \frac{95}{9.5} and \frac{105}{10.5}

D. \frac{105}{10} and \frac{95}{9.5}

E. \frac{105}{10.5} and \frac{95}{9.5}

In the correct answer, I don't understand why the upper limit for gallons is 10.5. If it is 10.5, that number would be rounded to eleven.
The same with the upper limit for milles. If it is 105, that number would be rounded to 110.


Almost the same question: on-a-recent-trip-cindy-drove-her-car-290-miles-rounded-to-99378.html

Similar questions:
a-cyclist-travels-the-length-of-a-bike-path-that-is-116960.html
if-an-automobile-averaged-22-5-miles-per-gallon-of-gasoline-109083.html

Hope it helps.
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Re: Andrew drove his truck 100 miles, rounded to the nearest 10   [#permalink] 04 Jan 2013, 07:26
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Andrew drove his truck 100 miles, rounded to the nearest 10

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