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## Official Guide Explanation:

Data Sufficiency #40

**Background**

This is just one of hundreds of free explanations I've created to the quantitative questions in The Official Guide for GMAT Review (12th ed.). Click the links on the question number, difficulty level, and categories to find explanations for other problems.

These are the same explanations that are featured in my "Guides to the Official Guide" PDF booklets. However, because of the limitations of HTML and cross-browser compatibility, some mathematical concepts, such as fractions and roots, do not display as clearly online.

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**Solution and Metadata**

**Question****: 40**

Page: 276

Difficulty: **5** (Moderate)

Category 1: Word Problems > Data Interpretation >

**Explanation:** To find the value of x, you'll need to find the distance between R and T. Note that no other distances--for instance the distance between R and S combined with the distance between S and T--would be sufficient to answer the question, since we don't know if that would be the most direct route between R and T.

Statement (1) compares the lengths of the routes betwen S and T and S and R, which would allow you to solve for y, but does nothing to help you solve for x. Statement (2), however, is sufficient: the distance between T and U is 69, so if 69 is 1.5 times the distance beween R and T, you can find that distance. Choice (B) is correct.

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