Two companies

The family ordered two companies to modify the garden. The first would be done in 20 days, the second would take 40% less time. How long will they work together if the second company started working when the first worked for 4 days?

Result

t =  6 d

Solution:

 4/20+t (1/20+1/(2040/100 20))=1  13.333333t=80  t=6 =6  d  \ \\ 4/20 + t \cdot \ (1/20 + 1/(20-40/100 \cdot \ 20)) = 1 \ \\ \ \\ 13.333333t = 80 \ \\ \ \\ t = 6 \ \\ = 6 \ \text { d }



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