P is 30% more productive than Q and finishes a task in 23 days. How much time do they need working together?
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Answer: D. 13
Explanation
Q takes twenty-three days, and P is thirty percent more productive, taking twenty-three over one point three. Combining P and Q work rates provides their joint daily output fraction. Inverting the combined daily rate yields a total working time of thirteen days. Productivity percentages increase individual work rates and shorten task completion times. Joint working times divide one by the sum of individual daily work fractions. Inverse relationships govern the conversion between worker productivity and completion duration.
Project management software calculates collaborative completion times based on worker productivity tiers. Manufacturing teams estimate task turnaround times by combining individual machine outputs. Labor efficiency studies evaluate how productivity improvements reduce overall project durations. Option nine underestimates the combined working time required for both individuals. Option eleven misses the exact reciprocal sum calculation by two days. Option twenty-three represents only Q's individual time rather than joint duration.
- Subject
- Mathematics
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- Mathematics
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- —
- Difficulty
- medium
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