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Alan takes 5 days less than Pete to do a project if they work on the project alone. If they are working together, the project would be completed 4 days earlier than Alan working alone. How long would each take to work on the job alone?

 Jun 28, 2020
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Pete = x

Alan rate = x-5

together  rate   x -5 -4 = x-9

1/x  + 1/(x-5) = 1/(x-9)                      solve for x  pete's rate

x-5 + x   = (x-5)(x)/(x-9)

(2x-5)(x-9) = x^2-5x

2x^2 -18x- 5x+45-x^2+5x = 0

x^2 -18x +45 = 0                                        x = 15 days       alan  10 days     together  6 days 

 Jun 28, 2020

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