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12 men can finish a job in 10 days and 15 women in 12 days. How long will 6 men and 5 women take together?

Class 10Work Rates with Two UnknownsAlgebra — Systems of Equations

A12 days
B10 days
C15 days
D12 6/7 days

Step-by-Step Solution

Man

\frac{1}{120}

, woman

\frac{1}{180} . \frac{6}{120} + \frac{5}{180} = \frac{1}{20} + \frac{1}{36} = \frac{9 + 5}{180} = \frac{14}{180} : \frac{90}{7}

days =

12 \frac{6}{7}

.

Answer: D) 12 6/7 days

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