Question

Agyan is twice as good a workman as adroit.If they work together,task is accomplished in 14 days.If agyan is not well and adroit does it alone,how much time would he require

Answer 1

adroit alone do it in 28 days....

Answer 2

Answer:

42 days

Step-by-step explanation:

We are given that Agyan is twice as good a workman as adroit.

Let Agyan can complete work in x days

So, Adroit can do work in 2 x Days.

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

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

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

We are given that they work together,task is accomplished in 14 days.

Together they can do a part of work in 1 day =$\frac{1}{14}$

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

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

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

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

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

$21=x$

So, , Adroit can do work in 2 x  = $2 \times 21 = 42$Days.

Hence Adroit can complete work in 42 days alone.