A task that requires 8 adults 12 days to finish takes twelve children sixteen days to accomplish. Following 3 days of labor, sixteen adults departed while six adults along with four children joined the workforce. How many days will they require to finalize the remaining portion of the project?
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Answer: C. 6 days
Explanation
Converting adult and child work rates to a common unit establishes the total project workload capacity. Calculating the remaining portion of work after three days of labor determines the outstanding task fraction. Dividing the remaining work by the new combined workforce rate yields exactly six required days to finish. Work and time problems convert mixed adult and child labor forces using initial productivity equivalence ratios. Total project work is measured in standardized worker-days required to complete the entire assignment. Remaining work equals total work minus the amount accomplished by the initial workforce during early days.
Construction project managers calculate labor force adjustments when worker staffing levels change mid-project. Operations researchers balance mixed labor team productivities to optimize project completion schedules safely. Industrial engineers compute workforce requirement changes when scaling manufacturing task assignments. Option A suggests three days which underestimates the time required to complete the remaining work. Option B suggests four days which results from an incorrect calculation of the remaining project fraction. Option D suggests eight days which overestimates the productivity of the newly formed combined workforce.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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