Official Guide Explanation:
Problem Solving #34

 

 

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.

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Solution and Metadata

Question: 34
Page: 157
Difficulty: 5 (Moderate)
Category 1: Word Problems > Rate Problems > Speed
Category 2: Algebra > Equations >

Explanation: This is very similar to question 28, and can be solved in the same way. You're looking for time, and since time = ((dist)/(rate)), you'll need distance and rate first. The question tells you Juan can run y yards in 11 seconds, so his rate is ((y)/11). Since the question is looking for the time it takes for him to run x yards, x is the distance. Thus, time = ((dist)/(rate)) = ((x)/(((y)/11))) = x((11/(y))) = ((11x)/(y)), choice (A).

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