SOLUTION: Working together two people can cut a large lawn in 3 hours one person can do the job alone in 1 hour less than the other How long would it take a faster person to do the job?
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Question 475830: Working together two people can cut a large lawn in 3 hours one person can do the job alone in 1 hour less than the other How long would it take a faster person to do the job? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Working together two people can cut a large lawn in 3 hours
one person can do the job alone in 1 hour less than the other
How long would it take a faster person to do the job?
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together rate: 1/3 job/hr
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Slower person rate = 1/x job/hr
Faster person rate = 1/(x-1) job/hr
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Equation:
rate + rate = together rate
1/x + 1/(x-1) = 1/3
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3(x-1) + 3x = x(x-1)
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6x - 3 = x^2-x
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x^2 -7x + 3 = 0
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x = {7 +- sqrt(49-4*3)]/2
x = [7 +- sqrt(37)]/2
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Realistic Answer:
x = 6.54 hrs
x-1 = 5.54 hrs (amt of time required by the slower worker)
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Cheers,
Stan H.
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