SOLUTION: 20 artisans can accomplish a job in 30 straight days, 25 artisans were hired at the beginning and 10 resigned after 20 days. How long will it take for the remaining artisans to fin

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 20 artisans can accomplish a job in 30 straight days, 25 artisans were hired at the beginning and 10 resigned after 20 days. How long will it take for the remaining artisans to fin      Log On


   

Question 1082145: 20 artisans can accomplish a job in 30 straight days, 25 artisans were hired at the beginning and 10 resigned after 20 days. How long will it take for the remaining artisans to finish the whole job?
Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
20 artisans can accomplish a job in 30 straight days,
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r, rate for one artisan working alone

20r%2A30=1
r=1%2F600



25 artisans were hired at the beginning and 10 resigned after 20 days.
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Two sections of time: 20 days and d day
Amount of work done, 1 whole job:
25%2Ar%2A20%2B15%2Ar%2Ad=1

highlight%2825%281%2F600%29%2A20%2B15%281%2F600%29%2Ad=1%29
Simplify and solve for d, "How long will it take for the remaining artisans to finish."