Question

A is half good a work man as B and together they finish a job in 14 days. In how many days working alone B finish the job?

Answer 1

21 days is the right answer

Answer 2

Answer:

21 days

Step-by-step explanation:

Let B can do complete work in x days

Since we are given that A is half good a work man as B

So, A can do complete work in 2x days

A can do a  part of work in 1 day = $\frac{1}{2x}$

B can do a  part of work in 1 day = $\frac{1}{x}$

They can do a part of work together in 1 day =  $\frac{1}{x}+\frac{1}{2x}$

We are also given that together they finish a job in 14 days

So, They can do a part of work together in 1 day =$\frac{1}{14}$

So,  $\frac{1}{x}+\frac{1}{2x}=\frac{1}{14}$

$\frac{3x}{2x^2}=\frac{1}{14}$

$\frac{3}{2x}=\frac{1}{14}$

$x=21$

Hence B can do complete work in 21 days