SOLUTION: 10 workers can do work in 20 days , when they start the work , after how many days should 5 workers leave the work so that the work would be finished in 35 days ?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 10 workers can do work in 20 days , when they start the work , after how many days should 5 workers leave the work so that the work would be finished in 35 days ?      Log On


   

Question 1024218: 10 workers can do work in 20 days , when they start the work , after how many days should 5 workers leave the work so that the work would be finished in 35 days ?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
This is ambiguous. I will take as t days with 10 workers, and 35-t days with the remaining 5 workers. This makes for a total job time of 35 days from start to finish.

FullCrewWork%2BfiveCrewWork=1, accounts for "one whole work".

Look at first sentence.
Let r be rate for one worker, jobs per days.
10%2Ar%2A20=1
highlight_green%28r=1%2F20%29.


Use the needed data in the work-rates rule.
10%281%2F20%29%2At%2B5%281%2F20%29%2A%2835-t%29=1
If this makes sense, and especially if you can formulate the equation on your own, then enough help done; just solve for t.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

10 workers can do work in 20 days , when they start the work , after how many days should 5 workers leave the work so that the work would be finished in 35 days ?
After highlight_green%28matrix%281%2C4%2C+2%261%2F2%2C+or%2C+2.5%2C+days%29%29 on the job, 5 workers can leave, and the remaining 5 workers will take 35 days to complete the %287%2F8%29%5E%28th%29 remaining work.