Question 133

A and B together can do a certain work in x days. Working alone, A and B can do the same workin (x + 8) and (x + 18) days, respectively. A and B together will complete $$\frac{5}{6}$$ of the same work in:

Solution

According to ques,

=> $$\frac{1}{x+8}+\frac{1}{x+18}=\frac{1}{x}$$

=> $$\frac{2x+26}{(x+8)(x+18)}=\frac{1}{x}$$

=> $$2x^2+26x=x^2+26x+144$$

=> $$x^2=144$$

=> $$x=\sqrt{144}=12$$

Thus, time taken to complete $$\frac{5}{6}$$ of the same work = $$\frac{5}{6}\times12=10$$ days

=> Ans - (C)

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