P, Q, and R complete a task in 20, 30, and 60 days respectively. How many days are needed if P works continuously with assistance from Q and R every third day?
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Answer: C. 15 days
Explanation
P, Q, and R complete the task in twenty, thirty, and sixty days, establishing individual daily work rates. P works every day while Q and R assist every third day, forming a repeating three-day work cycle. This cooperative cycle totals one unit of work every three days, completing the entire task in fifteen days. Work rate problems are solved by expressing daily output as unit fractions of the total task. P daily rate is one-twentieth, Q is one-thirtieth, and R is one-sixtieth of the project. Calculating cumulative work across multi-day cycles determines the exact completion timeline.
Operations researchers schedule cooperative tasks and shared resource deployments to optimize completion times. Construction management requires tracking phased labor contributions across multi-day work schedules. Aptitude test questions on work and time evaluate advanced multi-worker coordination skills. Option A underestimates the total days required by assuming faster combined assistance rates. Option B suggests fourteen days, which disrupts the natural completion cycle of the workers. Option D proposes nine days, an unrealistically short completion time for the given work rates.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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