P finishes a project in 15 days and Q in 20 days. After collaborating for 4 days, what proportion of the work remains unfinished?
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Answer: A. 8/15
Explanation
The correct answer is eight-fifteenths for the proportion of work remaining unfinished. P and Q complete seven-fifteenths of the project during their four days of collaboration. Subtracting seven-fifteenths from one whole project leaves eight-fifteenths unfinished. Individual work rates for P and Q are one-fifteenth and one-twentieth per day. Combined daily work rate equals one-fifteenth plus one-twentieth, simplifying to seven-sixtieths. Multiplying the combined daily rate by four days gives seven-fifteenths completed work.
Construction project management tracks completed fractions of work to monitor schedule progress. Contractors use daily work rates to estimate milestone completion dates for clients. Resource allocation software calculates remaining workloads based on collaborative team speeds. Option B represents the proportion of work completed rather than the amount remaining. Option C results from an incorrect subtraction of the completed work fraction from one. Option D is an inverted fraction that does not correspond to the project calculation.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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