Question

a can do a work in 6 days amd b can do it in 8 days the worked together for 2 days and then b left how many days will a require to finish the work​

Answer 1

Answer : a can finish the work in 2 1/2 days

Explanation:

(the spaces symbolize it is a fraction).

A can do a work in = 6 days

A’s, 1 day work =

6

1

​

B can do a work in = 8 days

B’s, 1 day work =

8

1

​

Both (A+B)’s 1 day work  =

6

1

​

+

8

1

​

=

24

4+3

​

=

24

7

​

Both (A+B)’s 2 day work =2×

24

7

​

=

12

7

​

So, the remaining work =1−

12

7

​

=

12

12−7

​

=

12

5

​

Now,

It is given that,

A can do a work in 6 days

A can do  

12

5

​

 work in =6×

12

5

​

 days

=

2

5

​

 days

=2

2

1

​

 days

∴A can finish the work in 2

2

1

​

 days.