Question 15

Some girls can do a piece of work in 18 days. In how much time (in days) two times the number of such girls will complete thrice of the work?

Let total work to be done = $$w$$ units

Time taken by $$n$$ girls to complete the work = 18 days

Let time taken by $$2n$$ girls to complete $$3w$$ units = $$d$$ days

Using, $$\frac{M_1D_1}{W_1}$$ $$=\frac{M_2D_2}{W_2}$$

=> $$\frac{n\times18}{w}=\frac{2n\times d}{3w}$$

=> $$d=18\times\frac{3}{2}=27$$ days

=> Ans - (B)

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