P finishes a task in 24 days, Q in 9 days, and R in 12 days. Q and R begin working but leave after 3 days. P completes the remainder in_________days.
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Answer: A. 10
Explanation
Workers Q and R work together for three days and complete a specific fraction of the total task. Subtracting this completed portion leaves a remaining workload for P to finish alone. P completes the remaining workload in exactly ten days based on his individual rate. Multiple workers can initiate a project before handing over remaining responsibilities to a single individual. Fractional work completion is tracked by multiplying individual rates by the number of active days. Remaining project portions are divided by the sole remaining worker's rate to find final completion days.
Shift work in industrial settings involves alternating teams completing sequential phases of production. Contractor handovers require calculating remaining labor hours when initial sub-contractors leave early. Project milestone tracking identifies individual delays and recalculates remaining completion schedules. Option B underestimates the time P needs because it overstates the work done in the first three days. Option C overestimates the required completion days due to an arithmetic subtraction error. Option D incorrectly assumes P worked alone for a longer duration than the remaining work required.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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