Question 178

If 1 man or 2 women or 3 boys can do a piece of work in 44 days, then the same piece of work will be done by 1 man, 1 woman and 1 boy in

Solution

1 man $$\equiv$$ 2 women $$\equiv$$ 3 boys

=> 1 man + 1 woman + 1 boy $$\equiv$$ 3 boys + $$\frac{3}{2}$$ boys + 1 boy

$$\equiv$$ (3 + $$\frac{3}{2}$$ + 1) boys $$\equiv$$ $$\frac{11}{2}$$ boys

$$\therefore$$ Using, $$M_{1}D_1 = M_{2}D_2$$

=> $$3 \times 44 = \frac{11}{2} \times D_2$$

=> $$D_2$$ = $$\frac{2*3*44}{11}$$ = 24 days

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