SOLUTION: 60 man can build a wall in 4o days.5 mens quits in every 10 days. how many days required to build the wall?

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Question 876178: 60 man can build a wall in 4o days.5 mens quits in every 10 days. how many days required to build the wall?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with the one-man rate would be most comfortable.

One man works at the rate of 1%2F%2840%2A60%29 walls/day. In a simple way, setup some terms to start building an equation equaling to one wall.

60%281%2F2400%29%2A10%2B55%281%2F2400%2910%2B50%281%2F2400%2910%2BMoreTerms=1
1%2F4%2B55%2F240%2B5%2F24%2B45%281%2F2400%2910%2BMoreTerms=1
1%2F4%2B11%2F48%2B5%2F24%2B45%2F240%2BMoreTerms=1
1%2F4%2B11%2F48%2B5%2F24%2B9%2F48%2BMoreTerms=1
1%2F4%2B11%2F48%2B5%2F24%2B9%2F48%2B40%281%2F2400%2910%2BMoreTerms%3E1-----Forty days
1%2F4%2B11%2F48%2B5%2F24%2B9%2F48%2B1%2F6=1.041%262%2F3-------Forty days

What you can do with this is use the forty-day equation, and add a term in which the time quantity is a variable, to be solved. This term is 40%281%2F2400%29d, and make the equation equal to 1.

1%2F4%2B11%2F48%2B5%2F24%2B9%2F48%2B40%281%2F2400%29d=1
highlight%281%2F4%2B11%2F48%2B5%2F24%2B9%2F48%2B%281%2F60%29d=1%29, solve for d.

Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!

60 man can build a wall in 4o days.5 mens quits in every 10 days. how many days required to build the wall?

Wall can be built in: highlight_green%2847.5%29, or highlight_green%2847%261%2F2%29 days.
You can do the check!!
If you need a complete and detailed solution, let me know!!
Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.
Further help is available, online or in-person, for a fee, obviously.