Question

A is twice as good a work man as B and together they finish price of work in 14 days. In How many days can A alone Finish The work ?

• A. 12
• B. 15
• C. 17
• D. 21

Answer 1

The correct option is D 21

Let Amount of work done by B in one day $=\frac{1}{x}$ if it takes $x$ days to complete the work alone

As, A is twice as good as B in work, it will take $\frac{x}{2}$ days to do the work and

Amount of work done by A alone in one day $=\frac{2}{x}$

Amount of work done by both of them in one day $=\frac{1}{x}+\frac{2}{x}=\frac{3}{x}$

Thus, number of days taken by both of them to do the work together $=\frac{1}{\frac{3}{x}}=14$

$=>x=42$

So, number of days A takes to do the work alone $=\frac{42}{2}=21$