SOLUTION: Working together, Ming and Beth can pick forty bushels of apples in 5.48 hours. Had she done it alone it would have taken Beth 14 hours. How long would it take Ming to do it alone?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Working together, Ming and Beth can pick forty bushels of apples in 5.48 hours. Had she done it alone it would have taken Beth 14 hours. How long would it take Ming to do it alone?      Log On


   

Question 899092: Working together, Ming and Beth can pick forty bushels of apples in 5.48 hours. Had she done it alone it would have taken Beth 14 hours. How long would it take Ming to do it alone?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
RATES in bushels per hour
Beth, 1/x
Ming, 1/14
BothTogether, 1/5.48

1%2Fx%2B1%2F14=1%2F5.48
1%2Fx%2B1%2F14=1%2F%285%264%2F5%29
1%2Fx%2B1%2F14=5%2F29
LCD is 14*29*x
14%2A29%2B29x=5%2A14%2Ax
5%2A29x-29x=14%2A29
29%285-1%29x=14%2A29
29%2A4%2Ax=14%2A29
4x=14
x=14%2F4
x=7%2F2
highlight%28x=3%261%2F2%29

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Working together, Ming and Beth can pick forty bushels of apples in 5.48 hours. Had she done it alone it would have taken Beth 14 hours. How long would it take Ming to do it alone?


Ming can complete the job in 9.004695 ≈ highlight_green%289%29 hours

You can do the check!! 



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