Question 795471
To produce one piece of work, Bill takes 0.25 hours less than Will. Working together, it takes them 3 hours. Find the time it would take each of them if they worked individually. Round your answers to 2 decimal places.
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Will's rate = 1/x job/hr
Bill's rate = 1/(x-0.25) job/hr
Together rate = 1/3 job/hr
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Equation
rate + rate = together rate
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1/x + 1/(x-0.25) = 1/3
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3(x-0.25) + 3x = x(x-0.25)
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3x - 0.75 + 3x = x^2 - 0.25x
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x^2 - 6.25x + 0.75 = 0
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x = 6.13 hrs (Will's time to do the job alone)
x-0.25 = 5.88 hrs (Bill's time to do the job alone)
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Cheers,
Stan H.