if 36 women or 48 boys can finish a work in 15 days, in how many days will 42 women and 24 boys be able to finish it?

Dear Student,

Please find below the solution to the asked query:

Given :  36 women Or 48 boys can finish a work in 15 days . Here we can see that number of days to finish a work is same , So

36 women = 48 boys ,

1 women = $\frac{48}{36} = \frac{\mathbf{4}}{\mathbf{3}}$ boys

Thus,

42 women = $\frac{4}{3}\times 42 = 4 \times 14$ = 56 boys

And

48 boys can finish a wok in 15 days , So

1 boy can finish a wok in = 48 $\times$ 15 = 720 days ,

Therefore,

42 women and 24 boys =  56 boys + 24 boys = 80 boys can finish a work = $\frac{720}{80}$ = 9 days                                 ( Ans )
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