Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Work Rate Problems
Proportional Reasoning
Formulas
Work = Rate × Time
Total work = 12 machines × 20 days = 240 machine-days
Work done by 3 machines in 8 days = 3 machines × 8 days = 24 machine-days
Remaining work = 240 machine-days - 24 machine-days = 216 machine-days
Days required for 12 machines = Remaining work / 12 machines = 216 / 12 = 18 days
Theorems
-
Suitable Grade Level
Grades 9-11
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