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2 women and 5 men finish a piece of embroidery in 4 days; 3 women and 6 men finish it in 3 days. How long would one woman take alone?

Class 10Work Rates with Two UnknownsAlgebra — Systems of Equations

A36 days
B12 days
C24 days
D18 days

Step-by-Step Solution

Let a woman do

u

and a man

v

per day:

2 u + 5 v = \frac{1}{4}, 3 u + 6 v = \frac{1}{3}

. Solving,

u = \frac{1}{18}, v = \frac{1}{36}

.

Answer: D) 18 days

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