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 ?

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). 10
2). 9
3). 8
4). 12

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Guest · Answer 1 · 2019-04-06 12:14:11

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

Guest · Answer 2 · 2019-04-18 17:12:25