1.

A is four times efficient as B. B started the work and after 6 days, A joined him. If the whole work was completed in 12 days, in how many days A alone can finish the whole piece of work ?1). 102). 93). 84). 12

Answer»

Solution

Let work = 1 units

Let time taken by A to complete the work = $x$ days

=> Time taken by B = $4x$ days

Acc to QUES,

=> $\frac{12}{4x} + \frac{6}{x} = 1$

=> $\frac{6}{x} (\frac{1}{2} + 1) = 1$

=> $\frac{3}{2} = \frac{x}{6}$

=> $x = \frac{3}{2} \times 6$

=> $x = 9$ days



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