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10 women and 5 men finish a job in 5 days; 5 women and 10 men finish it in 4 days. How long would one man take alone?

Class 10Work Rates with Two UnknownsAlgebra — Systems of Equations

A100 days
B40 days
C25 days
D50 days

Step-by-Step Solution

10 w + 5 m = \frac{1}{5}, 5 w + 10 m = \frac{1}{4}

. Double the second and subtract the first:

15 m = \frac{3}{10}

, so

m = \frac{1}{50}

.

Answer: D) 50 days

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