Answer: 15 days

Step-by-step explanation: please find the attachment

Hope it helps

Given :

A and B working together can do a work in 6 days

To Find :

If A takes 5 days less than B to finish the work,in how many days B alone can do the work ?

Solution:

Let x be the no. of days taken by B to complete the work

A takes 5 days less than B to finish the work

So, A completes work in x-5 days

(A+B)'s 1 day work =

(A+B)'s 6 days work =

We are given that A and B working together can do a work in 6 days

So,

If B Complete work in 2 days

So, A completes work in day = x-5 = 2-5 = -3

No. of days cannot be negative

So, B completes work alone in 15 days