A takes 6 days less than B to do work. If both A and B working together can do it in 4 days, how many days will B take to finish it ?

Let time taken to do work by B = x

Time taken by A to finish work = x – 6

Work done by A in one day

Work done by B in one day

If both A and B work together, then work done in one day

So, we have

But, x-6>0 (as time taken by A to finish work is x-6 which should be greater than 0)

So x = 12

Therefore, time taken to finish work by B is 12 days.

Conclusion: Therefore, time taken to finish work by B is 12 days