Question

A and B can do a piece of work in 6 days and A alone can do it in 9 days. Then what is time taken by B alone to do the work ?

Answer 1

Answer:

B will alone complete in 18 Days

Step-by-step explanation:

A and B together do a certain piece of work in 6 days

A and B together do work in 1 day = $\frac{1}{6}$

A alone complete the work in 9 days

A  do work in 1 day = $\frac{1}{9}$

B do work in 1 day =  A and B together work in 1 day  - A   work in 1 day

B do work in 1 day =  $\frac{1}{6}$ - $\frac{1}{9}$

=  $\frac{1}{18}$  × (3-2)  

=  $\frac{1}{18}$

B will alone complete in 18 Days