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Jonna and Russell meet at a diner that is directly south of Jonna's ho

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Jonna and Russell meet at a diner that is directly south of Jonna's ho  [#permalink]

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New post 03 Jul 2018, 00:07
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Difficulty:

  55% (hard)

Question Stats:

42% (01:52) correct 58% (01:26) wrong based on 43 sessions

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Jonna and Russell meet at a diner that is directly south of Jonna's house and directly west of Russell's house. If the diner is exactly 10 miles from Jonna's house and Russell's house is 2 miles closer to the diner than to Jonna's house, how far apart is Russell's house from the diner?


A. 8

B. 14

C. 16

D. 24

E. 26

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Jonna and Russell meet at a diner that is directly south of Jonna's ho  [#permalink]

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New post 03 Jul 2018, 02:22
Jonna
|
|
Diner--- Russell
It forms a right angle triangle 10^2 + (x-2)^ 2 = x^2
Option E
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Re: Jonna and Russell meet at a diner that is directly south of Jonna's ho  [#permalink]

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New post 04 Jul 2018, 10:57
I also got the answer as 26. is it not the correct answer?
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Jonna and Russell meet at a diner that is directly south of Jonna's ho  [#permalink]

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New post 04 Jul 2018, 11:11
3
PKGMAT wrote:
I also got the answer as 26. is it not the correct answer?


Hi,

You have to find out the distance b/w R and the diner, which is 26(value of x) minus 2 ie D
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Re: Jonna and Russell meet at a diner that is directly south of Jonna's ho  [#permalink]

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New post 04 Jul 2018, 11:23
Bunuel wrote:
Jonna and Russell meet at a diner that is directly south of Jonna's house and directly west of Russell's house. If the diner is exactly 10 miles from Jonna's house and Russell's house is 2 miles closer to the diner than to Jonna's house, how far apart is Russell's house from the diner?


A. 8

B. 14

C. 16

D. 24

E. 26


Someone please help me out here. I don't know if I'm missing something obvious or not but if the Question says that Russell's house is literally 2 miles closer to the diner then wouldn't Russell's house just be 10m-2m=8m? away from the diner? What am I missing?? This is driving me crazy
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Re: Jonna and Russell meet at a diner that is directly south of Jonna's ho  [#permalink]

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New post 04 Jul 2018, 11:28
2
Quote:
Someone please help me out here. I don't know if I'm missing something obvious or not but if the Question says that Russell's house is literally 2 miles closer to the diner then wouldn't Russell's house just be 10m-2m=8m? away from the diner? What am I missing?? This is driving me crazy


Hi,

2 miles closer to the diner than to Jonna's house
This implies that-
    The distance between the Diner and Jonna is 10
    The distance between the Diner and Russel is x(assume)
    The distance between the Russel and Jonna is x+2

Now, just use pythagorus theorem to get the value of x.
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Re: Jonna and Russell meet at a diner that is directly south of Jonna's ho  [#permalink]

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New post 04 Jul 2018, 11:32
1
munzuto wrote:
Quote:
Someone please help me out here. I don't know if I'm missing something obvious or not but if the Question says that Russell's house is literally 2 miles closer to the diner then wouldn't Russell's house just be 10m-2m=8m? away from the diner? What am I missing?? This is driving me crazy


Hi,

2 miles closer to the diner than to Jonna's house
This implies that-
    The distance between the Diner and Jonna is 10
    The distance between the Diner and Russel is x(assume)
    The distance between the Russel and Jonna is x+2

Now, just use pythagorus theorem to get the value of x.



I also just realized I misread the question...." 2 miles closer to the diner than to Jonna's house" thank you!
Re: Jonna and Russell meet at a diner that is directly south of Jonna's ho &nbs [#permalink] 04 Jul 2018, 11:32
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