P finishes a job in 18 days and Q in 15 days. After Q worked for 10 days and left, how many days does P need to finish the remainder?
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Answer: B. 6
Explanation
Worker Q completes two thirds of the total job within the first ten days. The remaining one third of the task must be finished by worker P alone. Worker P requires six days to finish the remaining fraction at standard speed. Worker P finishes the entire task in eighteen days at a daily rate of 1/18. Worker Q finishes the entire task in fifteen days at a daily rate of 1/15. Multiplying Q rate by ten gives 10/15 which simplifies to 2/3 completed work.
Project management often requires calculating remaining timelines when personnel leave midway. Contractors use fractional work completion rates to adjust schedules and deadlines dynamically. Evaluating individual contributions ensures accountability and accurate project forecasting. Choosing 8 days overestimates the time needed by P for the remaining fraction. Choosing 4 days underestimates the time required for P to finish the remaining work. Choosing 2 days represents an incorrect calculation of P daily output rate.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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