SOLUTION: A team of 2 men and 5 women completed one –fourth of a job in 3 days. After 3 days another man joined the team and they took 2 days to complete another one –fourth of the job. How
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Question 933854: A team of 2 men and 5 women completed one –fourth of a job in 3 days. After 3 days another man joined the team and they took 2 days to complete another one –fourth of the job. How many men can complete the whole job in 4 days?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A team of 2 men and 5 women completed one –fourth of a job in 3 days. After 3 days another man joined the team and they took 2 days to complete another one –fourth of the job. How many men can complete the whole job in 4 days?
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Let:
men rate = m
woman rate = w
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2m + 5w = 1/12
3(2m+5w) + 2(3m+5w) = 1/2
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3(1/12) + 2(m+(1/12)) = 1/2
1/4 + 2m + (1/6) = 1/2
2m + (5/12) = 6/12
2m = 1/12
m = 1/24
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One man can do the job in 24 days.
6 men can do the job in 4 days.
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cheers,
Stan H.
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