SOLUTION: a contractor contract to build a house in 30 days after 20 days 10 men complete 1/3 work how many men required to complete full work?

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Question 1108786: a contractor contract to build a house in 30 days after 20 days 10 men complete 1/3 work how many men required to complete full work?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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... After 20 days 10 men complete 1/3 work.
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r, one-man rate
Amount of job done was 1%2F3;

10%2Ar%2A20=1%2F3

r=1%2F%283%2A10%2A20%29

highlight_green%28r=1%2F600%29


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contract to build a house in 30 days;
how many men required to complete full work?
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Need to do still, 2%2F3 of the job, and use additional n men with the same 10, and need to do this amount of work in 10 days.

%28n%2B10%29r%2A10=2%2F3
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%28n%2B10%29%281%2F600%29%2A10=2%2F3
n%2B10=%282%2F3%29%28600%2F10%29
n%2B10=%282%2F3%2960
n%2B10=2%2A20
n=40-10
highlight%28n=30%29------------30 more men needed, to complete the work.