SOLUTION: Marita can prepare the payroll in 6 hours. If charles help her, they can finish it in 4 hours. How long would it take charles to do the job alone?
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Question 1087137: Marita can prepare the payroll in 6 hours. If charles help her, they can finish it in 4 hours. How long would it take charles to do the job alone? Found 2 solutions by jorel1380, ikleyn:Answer by jorel1380(3719) (Show Source):
You can put this solution on YOUR website! Marita can prepare the payroll in 6 hours. Therefore, she does 1/6th of the payroll per hour. Let c be the time in takes charles to do the job alone. Then:
1/6+1/c=1/4
2c+12=3c
c=12
It takes Charles 12 hours to do the payroll alone.
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Their combined rate of work is of the job per hour.
Marita's individual rate of work is of the job per hour.
Hence, Charles' individual rate of work is = = of the job per hour.
It means that Charles can complete the job in 12 hours working alone.