Question 96

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 ?

Solution

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 $$D_2 = 72$$

=> $$x \times 84 = (x + 6) \times 72$$

=> $$x \times 7 = (x + 6) \times 6$$

=> $$7x = 6x + 36$$

=> $$7x - 6x = x = 36$$

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