Question

A and B together can complete a piece of work in 4 days. A alone can complete the
same work in 12 days. In how many days, can B alone complete the work?​

Answer 1

Answer:

6 days

Step-by-step explanation:

Efficiency of A and B together is $\frac{1}{4}$

Efficiency of A is $\frac{1}{12}$

Efficiency of B is $\frac{1}{x}$

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

$\frac{1}{x}$ = $\frac{1}{4}$ - $\frac{1}{12}$

$\frac{1}{x}$ = $\frac{3-1}{12}$

$\frac{1}{x}$ = $\frac{2}{12}$

$\frac{1}{x}$ = $\frac{1}{6}$

x = 6 days