Question

A, B and C complete a certain work in 6, 8 and 12 days respectively. In how many days would all of them complete the work if they work together?



pls answer with statement​

Answer 1

Step-by-step explanation:

A can complete a certain work in 6 days

A's one day work = 1/6

B can complete a certain work in 8 days

B's one day work = 1/8

C can complete a certain work in 12 days

C's one day work = 1/12

if A, B and C can work together,

their one day work = 1/6+1/8+1/12=12+9+6/72= 27/72=3/8

if they work together they can work in 3/8 days

Answer 2

Answer:

Work done by B & C in 2 days = 2×{

8

1

+

12

1

}=

12

5

th

part of the work

Remaining work = (1−

12

5

)

th

=

12

7

th

part

A and B's one day work = (

6

1

+

8

1

)

th

=(

24

7

)

th

part

So

24

7

th

part of work is completed in 1 day

∴

12

7

th

part of work will be completed in

=

7/24

1

×

12

7

=

7

24

×

12

7

=2 days