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Official Guide Explanation:
Problem Solving #91
Background
This is just one of hundreds of free explanations I've created to the quantitative questions in The Official Guide for GMAT Quantitative Review (2nd 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: 91
Page: 73
Difficulty: 6 (Moderately Difficult)
Category 1: Word Problems > Other >
Category 2: Algebra > Linear Equations-One Unk >
Explanation: We're given an equation, S = ((60k)/(d2)), and two of the three variables. It's a reasonable assumption that we ought to solve for the constant, k:
30 = ((60k)/(22))
30(4) = 60k
k = (120/60) = 2
Now, we can use k = 2 to answer the question, in which d = 20. Starting with the equation again:
S = ((60k)/(d2))
S = ((60(2))/((20)2)) = (120/400) = (12/40) = (3/10), choice (A).
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