SOLUTION: Dan can clean the garage in 6 hours. Bea can do the same job in 8 hours. if they work together, how long would it take them to clean the garage?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Dan can clean the garage in 6 hours. Bea can do the same job in 8 hours. if they work together, how long would it take them to clean the garage?      Log On


   



Question 253137: Dan can clean the garage in 6 hours. Bea can do the same job in 8 hours. if they work together, how long would it take them to clean the garage?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Dan can clean the garage in 6 hours. Bea can do the same job in 8 hours. if they work together, how long would it take them to clean the garage?
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Dan does 1/6 of the job per hour.
Bea does 1/8 per hour.
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Together 1/6 + 1/8 = 7/24 per hour.
--> 24/7 hours
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Use the shortcut, product/sum
6*8/(6+8) = 48/14
= 24/7