Given that x women can complete a piece of work in 2 y 2y 2 y days, 1.5 x 1.5x 1.5 x men can complete the same work in y y y days, and 2 x 2x 2 x chil...

Question

Given that x women can complete a piece of work in 2y2y days, 1.5x1.5x men can complete the same work in yy days, and 2x2x children can complete the work in 3y3y days. If 8 women, 8 men, and 8 children together can complete the work in 221222 \frac{1}{2} days, and 9 men can complete the work in (y+20)(y + 20) days, find the value of y.

Options

A.

$14$

B.

$18$

C.

$20$

D.

$16$

work and timealgebratime calculationmen women children

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