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

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Manager
Joined: 11 Aug 2012
Posts: 124

Kudos [?]: 135 [1], given: 16

Schools: HBS '16, Stanford '16
Andrew drove his truck 100 miles, rounded to the nearest 10 [#permalink]

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04 Jan 2013, 08:23
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70% (00:54) correct 30% (01:10) wrong based on 143 sessions

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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.
[Reveal] Spoiler: OA

Kudos [?]: 135 [1], given: 16

Math Expert
Joined: 02 Sep 2009
Posts: 42249

Kudos [?]: 132617 [0], given: 12326

Re: Andrew drove his truck 100 miles, rounded to the nearest 10 [#permalink]

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04 Jan 2013, 08:26
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]

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23 Jul 2014, 21:51
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Re: Andrew drove his truck 100 miles, rounded to the nearest 10 [#permalink]

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04 Dec 2016, 03:30
Great Question.
Here is what i did on this one =>
Actual Distance => 95->104
Actual Gas => 9.5->10.4

Hence Minimum average => 95/10.4
Maximum Average =>104/9.5

Hence B

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Re: Andrew drove his truck 100 miles, rounded to the nearest 10   [#permalink] 04 Dec 2016, 03:30
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