SOLUTION: a contractor took a work to complete in 17 days by 9 employee. in 8 days 2/5 work was finished by 9 employee. how many extra employee are required to finish the remaining work on t

Algebra ->  Rate-of-work-word-problems -> SOLUTION: a contractor took a work to complete in 17 days by 9 employee. in 8 days 2/5 work was finished by 9 employee. how many extra employee are required to finish the remaining work on t      Log On


   



Question 1026423: a contractor took a work to complete in 17 days by 9 employee. in 8 days 2/5 work was finished by 9 employee. how many extra employee are required to finish the remaining work on time?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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a contractor took a work to complete in 17 days by 9 employee.
in 8 days 2/5 work was finished by 9 employee.
how many extra employee are required to finish the remaining work on time?
:
We know 9 men did 2/5 of the work
How many men are required to do the remaining 3/5 of the work
:
let the completed job = 1
each man did 1%2F8 * 1%2F9 * 2%2F5 = 2%2F360 = 1%2F180 of the job per day
:
let m = the additional men required to complete the remaining 3/5 of the job in 9 more days
:
the shared work equation, each man working 9 days
9*9%2F180 + 9*m%2F180 = 3%2F5
multiply equation by 180
81 + 9m = 36(3)
9m = 108 - 81
9m = 27
m = 27/9
m = 3 more men required