Question

4. A and B, working together can finish a piece of
work in 6 days, while A alone can do it in 9 days.
How much time will B alone take to finish it?​

Answer 1

Answer:

18 days

Step-by-step explanation:

Since, a alone do the work in 9 days,

So, the one day work of A = 1/9

Also, both a and b do the work in 6 days,

⇒ The combined one day work of a and b = 1/6

Thus, the one day work of b = The one day work of both a and b - One day work of a

= 1/6 - 1/9

=

$\frac{3 - 2}{18}$

= 1 / 18

Hence, the time taken by b alone =

=

$\frac{1}{1/18}$

= 18 days