SOLUTION: Working together, Linda and Kathy can clean a beach house in 5.14 hours. Had she done it alone it would have taken Linda 11 hours. How long would it take Kathy to do it alone?

Question 686438: Working together, Linda and Kathy can
clean a beach house in 5.14 hours. Had she
done it alone it would have taken Linda 11
hours. How long would it take Kathy to do
it alone?
Working
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!
>>Working together, Linda and Kathy can clean a beach house in 5.14 hours.<<

So, their rate working together is 1 house per 5.14 hours or 
 or

>>Had she done it alone it would have taken Linda 11 hours.<<

So, Linda's rate working alone is 1 house per 11 hours or 
 or

>>How long would it take Kathy to do it alone?<<

Suppose it would take Kathy x hours to do it alone.

So, Kathy's rate working alone is 1 house per x hours or 
 or 

The equation comes from:

                     


                             +  = 
Eliminate the decimal by multiplying top and bottom of the last fraction
by 100
                             +  = 

Multiply through by 5654x

                       514x + 5654 = 1100x
                              5654 = 586x
                                = x
                                = x
                       9.648464164 = x

Round off to hundredths 9.65 hours.

Edwin

RELATED QUESTIONS
working together, linda and kathy can clean a beach house in 5.14 hours. had she done it... (answered by TimothyLamb)

Working Together, Beth and Anna can clean their apartment in three hours. If Ana had done (answered by stanbon)

Working together, Ming and Beth can pick forty bushels of apples in 5.48 hours. Had she... (answered by josgarithmetic,MathTherapy)

Working together, Jenny and Natalie can mop a warehouse in 5.14 hours. Had she done it... (answered by ankor@dixie-net.com)

Working together, Jessica and Jill can install a new deck in 9 hours. Had she done it... (answered by ikleyn)

Working together, Jenny and Natalie can mop a warehouse in 5 hours. Had she done it alone (answered by Alan3354)

working together, Pual and Daniel can pick forty bushes of apples in 4.95 hours. Had he... (answered by ikleyn)

Working together Linda and Jim can clean the windows of their house in 3 hours and 36... (answered by stanbon)

Working together, Paul and Daniel can pick forty bushels of apples in 4.95 hours. Had he (answered by ptaylor)