Twelve men can accomplish a task in twenty days, whereas twenty women finish the identical assignment in sixteen days. Calculate the proportion relating the productivity of a single man to that of a single woman.
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Answer: C. 4:3
Explanation
Calculating total man-days required for twelve men over twenty days yields two hundred forty total units. Calculating total woman-days required for twenty women over sixteen days yields three hundred twenty total units. Forming the ratio of productivity between one man and one woman gives three hundred twenty over two hundred forty. Productivity rates in work problems are measured by multiplying the number of workers by time days required. Comparing individual worker productivities requires determining the inverse ratio of their total group work times. Simplifying the ratio of three hundred twenty to two hundred forty yields four to three for man-to-woman.
Labor economists compare relative productivity rates between different demographic worker classifications in industries. Construction contractors evaluate workforce efficiency ratios when substituting male and female labor crews. Operations managers calculate relative staffing requirements based on comparative worker productivity benchmarks. Option A suggests three to four which inverts the calculated man-to-woman productivity ratio incorrectly. Option B suggests five to four which does not match the total work unit calculations for men and women. Option D suggests five to three which represents an incorrect arithmetic ratio simplification result.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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