SOLUTION: Heidi can type a manuscript in 8 hours. Working together it takes Heidi and Dolores 5 hours to do the same job. How long would it take Dolores to type the manuscript by herself?

Question 251435: Heidi can type a manuscript in 8 hours. Working together it takes Heidi and Dolores 5 hours to do the same job. How long would it take Dolores to type the manuscript by herself?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Heidi can type a manuscript in 8 hours. Working together it takes Heidi and Dolores 5 hours to do the same job. How long would it take Dolores to type the manuscript by herself?
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Heidi DATA:
time = 8 hrs/job ; rate = 1/8 job/hr
-----------------------
Together DATA:
time = 5 hrs/job ; rate = 1/5 job/hr
-----------------------
Dolores DATA:
time = x hrs/job ; rate = 1/x job/hr
--------------------------------
Equation:
rate + rate = together rate
1/8 + 1/x = 1/5
Multiply thru by 40x to get:
5x + 40 = 8x
3x = 40
x = 13 1/3 hrs (time for Dolores to do the job alone)
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Cheers,
Stan H.
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