SOLUTION: It takes Dave 12 hours to clean the kitchen at his restaurant after throwing a legit birthday party for his buddy, Buster. When Dave and Buster clean the kitchen together, they ca

Algebra ->  Finance -> SOLUTION: It takes Dave 12 hours to clean the kitchen at his restaurant after throwing a legit birthday party for his buddy, Buster. When Dave and Buster clean the kitchen together, they ca      Log On


   

Question 1170444: It takes Dave 12 hours to clean the kitchen at his restaurant after throwing a legit birthday party for his buddy, Buster. When Dave and Buster clean the kitchen together, they can get it done in 5 and a half hours. How long does it take Dave to clean the kitchen by himself (when it isn’t his birthday)?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
.

Find the answer to your question directly in the text of the problem:

        " It takes Dave 12 hours to clean the kitchen at his restaurant ".


                                Ha-ha-ha.



Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The question should be, "How long does it take Buster to clean the kitchen by himself?"
                     RATE           TIME          AMOUNT OF KITCHEN

Dave                1/12            12               1

Buster              1/x             x                1

Combined           1/(5&1/2)        5&1/2            1
Dave & Buster

1%2F12%2B1%2Fx=1%2F%285%261%2F2%29
.
.
11x%2B11%2A12=24x
132=24x-11x
x=132%2F13
10 hour 9 minutes