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# Bills' school is 10 miles from his home. He travels 4 miles

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Manager
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Bills' school is 10 miles from his home. He travels 4 miles [#permalink]

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22 Dec 2007, 15:33
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Bills' school is 10 miles from his home. He travels 4 miles from school to football practice, and then 2 miles to friend's house. If he is then x miles from home, what is the range of possible values for x?

a) 2<x<10

b) 4<x<10

c) 4<x<12

d) 4<x<16

e) 6<x<16

My problem is: When Bill travels 4 miles from school to football practice, how do we know that he travels toward his HOME or against his HOME?
CEO
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22 Dec 2007, 15:39
D

max=10+4+2=16
min=10-4-2=4

Therefore, 4<=x<=16
Manager
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22 Dec 2007, 15:42
The correct answer is D. Now I got it. Thanks!
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22 Dec 2007, 15:46
walker wrote:
D

max=10+4+2=16
min=10-4-2=4

Therefore, 4<=x<=16

good point. I forgot to consider that he could have gone 6 miles in the opposite direction of school ....
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Re: A Math question from OG10 [#permalink]

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22 Dec 2007, 16:41
GMAT_700 wrote:
Bills' school is 10 miles from his home. He travels 4 miles from school to football practice, and then 2 miles to friend's house. If he is then x miles from home, what is the range of possible values for x?

a) 2<x<10

b) 4<x<10

c) 4<x<12

d) 4<x<16

e) 6<x<16

My problem is: When Bill travels 4 miles from school to football practice, how do we know that he travels toward his HOME or against his HOME?

def. D

max miles from home is 16 and min is 4. 10+6 and 10-6
Director
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Re: A Math question from OG10 [#permalink]

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22 Dec 2007, 17:26
GMAT_700 wrote:
Bills' school is 10 miles from his home. He travels 4 miles from school to football practice, and then 2 miles to friend's house. If he is then x miles from home, what is the range of possible values for x?

a) 2<x<10

b) 4<x<10

c) 4<x<12

d) 4<x<16

e) 6<x<16

My problem is: When Bill travels 4 miles from school to football practice, how do we know that he travels toward his HOME or against his HOME?

It should be "D".

Let him move in extremes, one towards the home and other totally opposite.
Re: A Math question from OG10   [#permalink] 22 Dec 2007, 17:26
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