SOLUTION: A worker can cover a parking lot with asphalt in ten hours. With the help of an assistant, they can do the job in six hours. How long would it take the assistant working alone to
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-> SOLUTION: A worker can cover a parking lot with asphalt in ten hours. With the help of an assistant, they can do the job in six hours. How long would it take the assistant working alone to
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Question 151070: A worker can cover a parking lot with asphalt in ten hours. With the help of an assistant, they can do the job in six hours. How long would it take the assistant working alone to cover the parking lot with asphalt? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A worker can cover a parking lot with asphalt in ten hours. With the help of an assistant, they can do the job in six hours. How long would it take the assistant working alone to cover the parking lot with asphalt?
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Worker DATA:
time = 10 hrs/job ; rate = (1/10) job/hr
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Together DATA:
time = 6 hrs/job ; rate = (1/6) job/hr
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Assistant DATA:
Time = x hrs/job ; rate = 1/x job/hr
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EQUATION:
1/10 + (1/x) = 1/6
3x + 30 = 5x
2x = 30
x = 15 hrs. (time for the assistant to do the job alone)
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Cheers,
Stan H.
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