SOLUTION: A job can be done by 25 men in 32 days. After 10 days 3 men left. How long will it take the remaining men to finish the job?

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Question 976597: A job can be done by 25 men in 32 days. After 10 days 3 men left. How long will it take the remaining men to finish the job?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Let r be rate for one man, and let t be the unknown time in the second part of the description, the time quantity asked for.

The second part uses a combination of 25 men and 22 men.

system%2825r%2A32=1%2C25r%2A10%2B22r%2At=1%29
This is the system for the whole description in the form of equations. Use the first equation to get a value for r, and use this to solve for t in the second equation.

r=1%2F%2825%2A32%29
;
22rt=1-25r%2A10
t=%281-250r%29%2F22r
t=1%2F%2822r%29-250%2F22
t=1%2F%2822%281%2F%2825%2A32%29%29%29-250%2F22
t=1%2F%2822%2F%2825%2A32%29%29-250%2F22
t=25%2A32%2F22-250%2F22
t=%2825%2A32-250%29%2F22
t=550%2F22
t=%285%2A11%2A10%29%2F%2811%2A2%29
highlight%28t=25%29