8 workers can build a wall 18 m long, 2 m broad and 12 m high in 10 days, working 9 hours a day. Find how many workers will be able to build a wall 32 m long, 3 m broad and 9 m high in 8 days working 6 hours a day ?

Using, $$\frac{M_1 * D_1 * H_1}{W_1} = \frac{M_2 * D_2 * H_2}{W_2}$$

where, M -> number of men , D -> no of days ,

H -> No of hours and W -> amount of work done

So, putting values in equation, we get :

$$M_1$$ = 8 , $$M_2$$ = $$x$$ = ?

$$D_1$$ = 10 , $$D_2$$ =8

$$H_1$$ = 9 , $$H_2$$ = 6

$$W_1$$ = 18*2*12 = 432 , $$W_2$$ = 32*3*9 = 864

Now, $$\frac{8*10*9}{432} = \frac{x*8*6}{864}$$

=> $$x = \frac{8*10*9*864}{432*8*6}$$ = 30