SOLUTION: A man and a woman working together can sow a field in 20/9 days. The man alone can do it in 4 days. How much time would the woman working alone take to sow the field?

Question 478478: A man and a woman working together can sow a field in 20/9 days. The man alone can do it in 4 days. How much time would the woman working alone take to sow the field?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A man and a woman working together can sow a field in 20/9 days. The man alone can do it in 4 days. How much time would the woman working alone take to sow the field?
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Together rate: (9/20) job/day
Man rate: 1/4 job/day
Woman rate: 1/x job/day
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Equation:
rate + rate = together rate
1/x + 1/4 = 9/20
20 + 5x = 9x
4x = 20
x = 5 days-----(time needed by the woman to do the job alone)
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Cheers,
Stan H.
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