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How far is gas station X from gas station Z ? (1) Gas station Y is

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Math Expert
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How far is gas station X from gas station Z ? (1) Gas station Y is  [#permalink]

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New post 21 Feb 2018, 23:05
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

79% (00:54) correct 21% (01:19) wrong based on 47 sessions

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How far is gas station X from gas station Z ? (1) Gas station Y is  [#permalink]

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New post 21 Feb 2018, 23:36
Bunuel wrote:
How far is gas station X from gas station Z ?

(1) Gas station Y is 5 miles from gas station Z.

(2) Gas station X is 3 miles from gas station Y.



the alignment of the gas stations is unknown but we know from (1) y to z = 5 insufficient and (2) x to y = 3

combining we have x to y and y to z distance

the arrangement is not known & we can't find a unique value

(E) imo
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Re: How far is gas station X from gas station Z ? (1) Gas station Y is  [#permalink]

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New post 22 Feb 2018, 02:55
Bunuel wrote:
How far is gas station X from gas station Z ?

(1) Gas station Y is 5 miles from gas station Z.

(2) Gas station X is 3 miles from gas station Y.



1) No Info about x

Insufficient

2) No Info about z

Insufficient

Combines 1 & 2

Case 1: x........3........Y..........5........z the distance between x & z = 8 miles

Case 2: Y........3........x..........2........z the distance between x & z = 2 miles

Two cases with different values.

Answer: E
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Re: How far is gas station X from gas station Z ? (1) Gas station Y is  [#permalink]

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New post 22 Feb 2018, 02:56
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Hatakekakashi wrote:
Bunuel wrote:
How far is gas station X from gas station Z ?

(1) Gas station Y is 5 miles from gas station Z.

(2) Gas station X is 3 miles from gas station Y.



the alignment of the gas stations is unknown but we know from (1) y to z = 5 insufficient and (2) x to y = 3

combining we have x to y and y to z distance

despite the arrangement not known we can find a unique value

(C) imo


Hi Hatakekakashi

I think you missed that there are 2 cases. Pls review my solution above.
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Re: How far is gas station X from gas station Z ? (1) Gas station Y is  [#permalink]

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New post 22 Feb 2018, 03:46
Mo2men wrote:

Hi Hatakekakashi

I think you missed that there are 2 cases. Pls review my solution above.


hi, i was thinking i did mess up somewhere when I mentioned about the geometry alignment of the stations :D ( at work i solve porblems without pen and paper)

Thanks for pointing it out

Regards,
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Re: How far is gas station X from gas station Z ? (1) Gas station Y is  [#permalink]

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New post 23 Feb 2018, 00:21
Bunuel wrote:
How far is gas station X from gas station Z ?

(1) Gas station Y is 5 miles from gas station Z.

(2) Gas station X is 3 miles from gas station Y.

IMO E this question can be easy if we make a number line
A is insufficient as no information about X
B is insufficient as no information about z
C Insufficient as if X is in middle then total distance will be 5 and if Y is in middle the total distance is 8
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Re: How far is gas station X from gas station Z ? (1) Gas station Y is   [#permalink] 23 Feb 2018, 00:21
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