1. ‘x’ number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is
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By: anil on 05 May 2019 01.41 am
Using : $$M_1 D_1 = M_2 D_2$$ $$x$$ men can do a piece of work in 30 days => $$M_1 = x , D_1 = 30$$ Also, $$M_2 = (x + 6) , D_2 = 30 - 10 = 20$$ $$ herefore x imes 30 = (x + 6) imes 20$$
=> $$30x = 20x + 120$$ => $$30x - 20x = 10x = 120$$ => $$x = frac{120}{10} = 12$$
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=> $$30x = 20x + 120$$ => $$30x - 20x = 10x = 120$$ => $$x = frac{120}{10} = 12$$