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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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17 Feb 2009, 05:43
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86% (07:48) correct 14% (01:37) wrong based on 98 sessions

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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 290/11.4
B. 294/12 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

Open discussion of the question is here: on-a-recent-trip-cindy-drove-her-car-290-miles-rounded-to-99378.html

Last edited by Bunuel on 21 Apr 2012, 03:17, edited 1 time in total.
Topic is locked

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Re: Miles and gallons problem [#permalink]

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17 Feb 2009, 06:33
Have no idea what the OA is, it is a task which i have problems to solve.
If you think that answer B is the right one, then what about 284/11.4 ??? if 284 to round off to the nearest 10 we'll get 280 which is not 290, and the same with 11.4, it will be 11 and not 12.

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Re: Miles and gallons problem [#permalink]

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17 Feb 2009, 10:28
I think there is a typo or something.

I did this question last night...don't remember the exact numbers but I don't remember having this difficulty with the Question wording.

And yes, you are right, the range in Miles CANNOT be from 284~295 because 284 rounds down and 295 rounds up.

I think the options are mixes and matches of 285, 294 miles with 11.5 and 12.4 gallons.

In this case, the answer is the difference between the most INefficient and the most efficient.
I remember the answer being 285miles/12.4gallons ~ 294miles/11.5gallons

someone correct me if i'm wrong?

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Re: Miles and gallons problem [#permalink]

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01 Oct 2009, 18:18
Okay..I have seen multiple threads of this question but no clear explanation has yet been provided..so opening the post again..I would like the experts to give a detailed explanation.

Posting the question again(there was a typo previously):

Quote:
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:
[Reveal] Spoiler:
D

290 miles rounded to the nearest 10 miles: b/w 285 and 294
12 gallons rounded to the nearest gallon:b/w 11.5 and 12.4

Now,
worst possible mileage would happen with fewest miles traveled and the greatest gasoline consumption, and the best possible mileage would be the opposite.
whch should make it 285/12.4 and 294/11.5 which does not match with the OA.

The problem seems to arise from the word "between".

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Re: Miles and gallons problem [#permalink]

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28 Aug 2010, 08:23
idiotdumbguy wrote:
refreshment 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:

A) 290/12.5 and 290/11.4
12.5 rounded to the next gallon will be 13 so out
B) 294/12 and 284/11.4
C) 284/12 and 295/12
284 would be rounded off to 280
D) 284/12.5 and 295/11.4
284 would be rounded off to 280
E) 295/12.5 and 284/11.4
12.5 rounded to the next gallon will be 13 so out

Here rounding off number is tested.
OA-D

least value = the least of distance/the max of gas = 285/12.4 or 285/12.5
highest value = max of distance/least of gas = 294/11.5 or 295/11.5
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Re: Miles and gallons problem [#permalink]

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28 Aug 2010, 15:05
Also note that is says 'between' so 284 and 295 are okay, since it doesn't include those values. 285,294 would be under and over estimating.

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Re: Miles and gallons problem [#permalink]

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21 Apr 2012, 03:11
- She drove between 285 and 295 miles
- She used between 11.5 and 12.5 gallons

minimum:
285/12.5 (=22.8 miles/gallon)

maximum:
295/11.5 (=25.7 miles /gallon)

Can someone explain again why we have to use the max. of miles to divide with the min. of gallons?

Thanks

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Re: Miles and gallons problem [#permalink]

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21 Apr 2012, 03:16
andih wrote:
- She drove between 285 and 295 miles
- She used between 11.5 and 12.5 gallons

minimum:
285/12.5 (=22.8 miles/gallon)

maximum:
295/11.5 (=25.7 miles /gallon)

Can someone explain again why we have to use the max. of miles to divide with the min. of gallons?

Thanks

Discussed here: on-a-recent-trip-cindy-drove-her-car-290-miles-rounded-to-99378.html
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Re: Miles and gallons problem   [#permalink] 21 Apr 2012, 03:16
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