Question

# 2 women and 5 men can together finish an embroidery work in 4 days ,, while 3 women and 6 men can finish it in 3 days. Finish the time taken by 1 woman alone to finish the work , and also that taken by 1 man alone.

Solution

## Number of days required For women be xFor men be yWork done by women in 1 day= $$\dfrac{1}{x}$$Work done by men in 1 day = $$\dfrac{1}{y}$$$$4 \left ( \dfrac{2}{x} + \dfrac{5}{y}\right ) = 1$$$$3\left ( \dfrac{3}{x} + \dfrac{6}{y}\right ) = 1$$Let $$\dfrac{1}{x} = p and \dfrac{1}{y} = q$$.$$\therefore 8p+20q=1,9p+18q=1$$From both the equation$$9\frac{(1-20q)}{8}+18q=1$$$$q=\frac{1}{36}$$$$p=\frac{1}{18}$$$$\therefore$$ 1 women will finish work in 18 daysMathematics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More