CBSE · Class 8 · Mathematics · Direct and Inverse ProportionsIf 6 workers can build a wall in 12 hours, how many hours will 9 workers take to build the same wall?
Step-by-Step Solution
This is an inverse proportion problem because more workers take less time. Let the time be $x$. $6 \times 12 = 9 \times x \implies x = \frac{6 \times 12}{9} = 8$ hours.
Detailed Options Breakdown
Option : 18 hours
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Direct and Inverse Proportions.
Option 1: 8 hours (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 9 hours
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Direct and Inverse Proportions.
Option 3: 16 hours
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Direct and Inverse Proportions.
💡 Study Guide: This question tests core syllabus concepts from Direct and Inverse Proportions. For formulas, key summaries, and mock exam reference guides, read the full Direct and Inverse Proportions Revision Notes.