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Geometry - Hard- Gmat Prep

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by lazarogb » Sun Dec 09, 2012 5:15 am
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


OA C
The official answer is very tricky, I would like to know if anyone can come up with a simple solution.

Thanks!
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Source: — Data Sufficiency |

by GMATGuruNY » Sun Dec 09, 2012 7:11 am
lazarogb wrote: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


OA C
Use reason. Here are the roads:

Image

Now imagine that we SQUEEZE together the edges of the roads so that the width of each road is negligible:

Image

The figure above shows that r+s+t = 360.
Thus, when the statements are combined, t=360-140-160 = 60.

The correct answer is C.
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by lazarogb » Sun Dec 09, 2012 7:16 am
Wow!

That is so much easier than I imagined.

Thanks a lot Mitch!
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