1. A group of workers could complete a piece of work in 84 days. If there were 6 more workers, it would have taken 12 days less to finish the same piece of work. What was the actual strength of workers ?
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By: anil on 05 May 2019 01.40 am
Using : $$M_1 D_1 = M_2 D_2$$ Let $$x$$ men finish the work in 84 days => $$(x + 6)$$ workers finish the work in 72 days => $$M_1 = x , D_1 = 84$$ and $$D_2 = 72$$ => $$x imes 84 = (x + 6) imes 72$$
=> $$x imes 7 = (x + 6) imes 6$$ => $$7x = 6x + 36$$ => $$7x - 6x = x = 36$$
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=> $$x imes 7 = (x + 6) imes 6$$ => $$7x = 6x + 36$$ => $$7x - 6x = x = 36$$