SOLUTION: Working together, Jenny and Natalie can mop a warehouse in 5.14 hours. Had she done it alone it would have taken Natalie 12 hours. How long would it take Jenny to do it alone?

Question 143346: Working together, Jenny and Natalie can mop a warehouse in 5.14 hours. Had she done it alone it would have taken Natalie 12 hours. How long would it take Jenny to do it alone?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Working together, Jenny and Natalie can mop a warehouse in 5.14 hours. Had she done it alone it would have taken Natalie 12 hours. How long would it take Jenny to do it alone?
:
Let t = time required for J to do the job alone
;
Let the completed job = 1
:
+ = 1
Multiply equation by 12t to get rid of the denominators:
:
5.14t + 12(5.14) = 12t(1)
:
5.14t + 61.68 = 12t
:
61.68 = 12t - 5.14t
:
61.68 = 6.86t
t =
t = 8.99 ~ 9 hrs J's time alone
:
:
Check solution using original equation
5.14/12 + 5.14/9 =
.4283 + .5711 = .999 ~ 1

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