Two boys and a girl can do a work in 5 days, while a boy and 2 girls can do it i

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Question
Two boys and a girl can do a work in 5 days, while a boy and 2 girls can do it in 6 days. If the boy is paid at the rate of 28$ a week, what should be the wages of the girl a week ?
Options
A. 24 $
B. 22 $
C. 16 $
D. 14 $

Correct Answer

16 $

Explanation

Let the 1 day work of a boy=b and a girl=g, then
2b + g = 1/5 ---(i) and
b + 2g = 1/6 ---(ii)
On solving (i) & (ii), b=7/90, g=2/45
As payment of work will be in proportion to capacity of work and a boy is paid $ 28/week,
so a girl will be paid $28 � \frac{\frac{2}{45}}{\frac{7}{90}}$ = 16 $.

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