Pay and work rate distribution exercise: Suppose two construction workers did a job together over several days

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Pay and work rate distribution exercise: Suppose two construction workers did a job together over several days and agreed to split the profits as follows:

Contractor A: \(40 \%\)

Contractor B: \(60 \%\)

Contractor B had to leave the job early on some days. So, contractor A ended up working \(9 \mathrm{~h}\) more than contractor B. The job took \(39 \mathrm{~h}\) to complete and the two contractors worked together side by side for 30 h. If the net profit was \(\$ 6,000.00\), how much should each receive based on the percentage split that they agreed to?

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