Question

A and B together can complete a work in 10 days. They started together but A left after 2 days and the remaining work was completed by B in 12 days. In how many days can A complete the entire work while working alone?

Answer 1

Answer:

6 days

Step-by-step explanation:

(A+B)'s one day's work = 

1313

 part

(A+B) works 2 days together = 

2323

 part

Remaining work = 

1−231−23

  = 

1313

 part

1313

 part of work is completed by A in two days

Hence, one day's work of A = 

1616

Then, one day's work of B = 

13−1613−16

  = 

1616

So, B alone can complete the whole work in 6 days.