SOLUTION: 25 men can do a project in 20 days . 15 men leave the project after working for some timeand the remaining project is completed in the next 37 1/2 days . After how many days did th
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Question 683824: 25 men can do a project in 20 days . 15 men leave the project after working for some timeand the remaining project is completed in the next 37 1/2 days . After how many days did those men leave ? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = number of days after starting when 15 men left
The 25 men work at a rate of ( 1 project ) / ( 20 days ), or
What fraction of the project did they complete in days? of the project
That means that the fraction of the project left to be done is
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Now there are men left to finish the project
If 25 men work at a rate of , then 5 men will be
5 times slower, or a rate of
Now I can say
Multiply both sides by
The 15 men left after 12.5 days
check answer:
The original 25 men finished as a fraction of the project
There was left to do
The remaining 5 men work at a rate of
OK