SOLUTION: Working Together, Beth and Anna can clean their apartment in three hours. If Ana had done it alone, it would have taken her seven hours. How long would it have taken Beth if she ha

Question 964538: Working Together, Beth and Anna can clean their apartment in three hours. If Ana had done it alone, it would have taken her seven hours. How long would it have taken Beth if she had worked alone.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Working Together, Beth and Anna can clean their apartment in three hours. If Ana had done it alone, it would have taken her seven hours. How long would it have taken Beth if she had worked alone.
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Equate rates::
b + a = 1/3
a = 1/7
b = (1/3)-(1/7)
b = (7-3)/21 = 4/21 (Beth's rate
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Ans:: Beth's time = 21/4 = 5 hr 15 min (to do the job alone)
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Cheers,
Stan H.
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