q. it takes 9 bricklayers 42 hours to build a chimney. how many hours would it take for 6 bricklayers to build a chimney?
a. 28
b. 56
c. 49
d. 63

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Word Problems" ], "new_concepts": [ "Inverse Variation", "Work Rate Problems" ], "current_concepts": [ "Word Problems", "Inverse Variation", "Work Rate Problems" ] } ## Calculate total work in man-hours $$ \text{Total Work} = 9 \text{ bricklayers} \times 42 \text{ hours} = 378 \text{ man-hours} $$ ## Determine hours needed for six bricklayers $$ \text{Hours} = \frac{378 \text{ man-hours}}{6 \text{ bricklayers}} = 63 \text{ hours} $$ ## Match with the multiple-choice options $$ \text{Option D} = 63 $$

(A) 28

(B) 56

(C) 49

(D) 63

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Inverse Variation" ] }

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Question

Explanation:

Calculate total work in man-hours

Determine hours needed for six bricklayers

Match with the multiple-choice options

Answer: