SOLUTION: Lindsay and Kimmie, working together, can balance the financials for the Kappa Kappa Gama sorority in 6days. Lindsay by herself can complete the job in 5days less than Kimmie. How

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Lindsay and Kimmie, working together, can balance the financials for the Kappa Kappa Gama sorority in 6days. Lindsay by herself can complete the job in 5days less than Kimmie. How       Log On


   

Question 884193: Lindsay and Kimmie, working together, can balance the financials for the Kappa Kappa Gama sorority in 6days. Lindsay by herself can complete the job in 5days less than Kimmie. How long will it take Lindsay to complete the job by herself?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
RT=J, uniform rate, J is amount of job.


________________rate________time_______job
Lindsay_________(___)_______t-5________1
Kimmie__________(___)________t_________1
Together________(___)_______6__________1

You must find expressions for the rates using RT=J, as R=J%2FT.

________________rate________time_______job
Lindsay_________1/(t-5)_______t-5________1
Kimmie__________1/t________t_________1
Together________1/6_______6__________1

Their "together" rate is the sum of their individual rates.
highlight_green%281%2F%28t-5%29%2B1%2Ft=1%2F6%29.
This equation uses just the variable, t, for time in days for KIMMIE to do the job alone. Solve for t.

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!

Lindsay and Kimmie, working together, can balance the financials for the Kappa Kappa Gama sorority in 6days. Lindsay by herself can complete the job in 5days less than Kimmie. How long will it take Lindsay to complete the job by herself? 


Lindsay does job in highlight_green%28highlight_green%2810%29%29 days, by herself.

You can do the check!! 



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