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# Jonna and Russell meet at a diner that is directly south of

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Jonna and Russell meet at a diner that is directly south of [#permalink]  02 Jul 2018, 06:08
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Question Stats:

46% (01:50) correct 53% (01:04) wrong based on 15 sessions
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
[Reveal] Spoiler: OA

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Re: Jonna and Russell meet at a diner that is directly south of [#permalink]  03 Jul 2018, 19:35
Carcass 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

Here we can draw the diagram as below from the facts given in the statement.

Let the distance between Jonna's house and Russel's house = X

SO the distance between Russel's house and diner = X - 2

By using Pythagoras theorem we have,

$$X^2 = (X - 2)^2 + 10^2$$

or $$4X = 104$$

or $$X = 26$$.

Therefore the distance between Russel's house and diner = $$X - 2 = 26 - 2 = 24$$
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Re: Jonna and Russell meet at a diner that is directly south of [#permalink]  19 Nov 2018, 16:14
pranab01 wrote:
Carcass 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

Here we can draw the diagram as below from the facts given in the statement.

Let the distance between Jonna's house and Russel's house = X

SO the distance between Russel's house and diner = X - 2

By using Pythagoras theorem we have,

$$X^2 = (X - 2)^2 + 10^2$$

or $$4X = 104$$

or $$X = 26$$.

Therefore the distance between Russel's house and diner = $$X - 2 = 26 - 2 = 24$$

"Russell's house is 2 miles closer to the diner than to Jonna's house" - Doesn't it mean 10-2=8 ? Please explain.
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Re: Jonna and Russell meet at a diner that is directly south of [#permalink]  20 Nov 2018, 07:33
Expert's post
AE wrote:
"Russell's house is 2 miles closer to the diner than to Jonna's house" - Doesn't it mean 10-2=8 ? Please explain.

Here dinner is a 'place', so Russel's house is 2 miles closer to dinner than Jonna's house (also a place). So it means that if distance between Jonna's and Russels place is $$x$$ then the distance between dinner and Russels place is $$x-2$$.
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Re: Jonna and Russell meet at a diner that is directly south of [#permalink]  24 Nov 2018, 00:39
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sandy wrote:
AE wrote:
"Russell's house is 2 miles closer to the diner than to Jonna's house" - Doesn't it mean 10-2=8 ? Please explain.

Here dinner is a 'place', so Russel's house is 2 miles closer to dinner than Jonna's house (also a place). So it means that if distance between Jonna's and Russels place is $$x$$ then the distance between dinner and Russels place is $$x-2$$.

I had the same issue as the other poster until I realized my reading was skipping TO, which I highlighted in the quote. What the poster (and I initially) read was

"Russell's house is 2 miles closer to the diner than Jonna's house"

instead of the correct

"Russell's house is 2 miles closer to the diner than to Jonna's house"
Re: Jonna and Russell meet at a diner that is directly south of   [#permalink] 24 Nov 2018, 00:39
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# Jonna and Russell meet at a diner that is directly south of

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