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The figure above shows a construction plan for the intersect

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The figure above shows a construction plan for the intersect [#permalink] New post 17 Jan 2013, 06:33
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65% (01:33) correct 35% (00:54) wrong based on 9 sessions
Attachment:
Roads.png
Roads.png [ 25.68 KiB | Viewed 1023 times ]
The figure above shows a construction plan for the intersection of three straight roads, each having parallel edges and each having the same width. what is the value of t?

(1) r = 140
(2) s = 160
[Reveal] Spoiler: OA

Last edited by Bunuel on 17 Jan 2013, 07:25, edited 1 time in total.
Edited the question.
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Re: The figure above shows a construction plan for the intersect [#permalink] New post 17 Jan 2013, 07:05
My net was lagging and wouldn't let me upload the image.
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Re: The figure above shows a construction plan for the intersect [#permalink] New post 17 Jan 2013, 07:33
Image
The figure above shows a construction plan for the intersection of three straight roads, each having parallel edges and each having the same width. what is the value of t?

(1) r = 140. Not sufficient.
(2) s = 160. Not sufficient.

(1)+(2) Consider the width of the roads to be 0 as shown below:
Attachment:
Roads.png
Roads.png [ 14.39 KiB | Viewed 841 times ]
From the figure we have that r+s+t=360 degrees --> 140+160+t=360 --> t=60 degrees. Sufficient.

Answer: C.
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Re: The figure above shows a construction plan for the intersect [#permalink] New post 18 Jan 2013, 04:37
Seems a very basic question, but what other possible concepts are tested here? The official explanations was pretty convoluted had a parallelogram and all of that.
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Re: The figure above shows a construction plan for the intersect [#permalink] New post 18 Jan 2013, 23:05
Bunuel wrote:
Image
The figure above shows a construction plan for the intersection of three straight roads, each having parallel edges and each having the same width. what is the value of t?

(1) r = 140. Not sufficient.
(2) s = 160. Not sufficient.

(1)+(2) Consider the width of the roads to be 0 as shown below:
Attachment:
Roads.png
From the figure we have that r+s+t=360 degrees --> 140+160+t=360 --> t=60 degrees. Sufficient.

Answer: C.


Bunnel

I have small doubt here

Suppose the length is not 0 then you will have two variables and you cannot solve the equation i.e the equation becomes

Suppose width=X

Then T= 360-3X-R-S

and here you have 2 variables and 1 equation you cannot get a single solution

Am i right?
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Re: The figure above shows a construction plan for the intersect [#permalink] New post 19 Jan 2013, 04:58
mydreammba wrote:
Bunuel wrote:
Image
The figure above shows a construction plan for the intersection of three straight roads, each having parallel edges and each having the same width. what is the value of t?

(1) r = 140. Not sufficient.
(2) s = 160. Not sufficient.

(1)+(2) Consider the width of the roads to be 0 as shown below:
Attachment:
Roads.png
From the figure we have that r+s+t=360 degrees --> 140+160+t=360 --> t=60 degrees. Sufficient.

Answer: C.


Bunnel

I have small doubt here

Suppose the length is not 0 then you will have two variables and you cannot solve the equation i.e the equation becomes

Suppose width=X

Then T= 360-3X-R-S

and here you have 2 variables and 1 equation you cannot get a single solution

Am i right?


No you are not. The edges of the road are parallel, so there is 0 degree angle between them.
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PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!


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Re: The figure above shows a construction plan for the intersect [#permalink] New post 19 Jan 2013, 07:57
Bunuel wrote:
mydreammba wrote:
Bunuel wrote:
Image
The figure above shows a construction plan for the intersection of three straight roads, each having parallel edges and each having the same width. what is the value of t?

(1) r = 140. Not sufficient.
(2) s = 160. Not sufficient.

(1)+(2) Consider the width of the roads to be 0 as shown below:
Attachment:
Roads.png
From the figure we have that r+s+t=360 degrees --> 140+160+t=360 --> t=60 degrees. Sufficient.

Answer: C.


Bunnel

I have small doubt here

Suppose the length is not 0 then you will have two variables and you cannot solve the equation i.e the equation becomes

Suppose width=X

Then T= 360-3X-R-S

and here you have 2 variables and 1 equation you cannot get a single solution

Am i right?


No you are not. The edges of the road are parallel, so there is 0 degree angle between them.


Thanks Bunnel Got it
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Re: The figure above shows a construction plan for the intersect [#permalink] New post 14 Feb 2013, 06:44
Quote:
(1)+(2) Consider the width of the roads to be 0 as shown below:


Bunuel - can you please elaborate it further ? why do we need to make this assumption ?

Regards.
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Re: The figure above shows a construction plan for the intersect [#permalink] New post 14 Feb 2013, 08:19
anshunadir wrote:
Quote:
(1)+(2) Consider the width of the roads to be 0 as shown below:


Bunuel - can you please elaborate it further ? why do we need to make this assumption ?

Regards.


Go thru the file attached. Then you will understand the point which Bunuel is making.

Regards,

Abhijit
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Re: The figure above shows a construction plan for the intersect   [#permalink] 14 Feb 2013, 08:19
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