Question

13. A and B can do a job in 6 days, B and C in 9 days, and A and C in 12 days. How much time
will they take to complete the job if they all work together? How long will each of them take
to do the job​

Answer 1

Answer:

A=72/5

B=72/7

C=72

Step-by-step explanation:

Given,

A and B can do a job in 6 days, B and C in 9 days, and A and C in 12 days.

A+B=1/6

B+C=1/9

A+C=1/12

2(A+B+C)=1/6+1/9+1/12

              =13/36

A+B+C=13/72

C=13/72-(A+B)

we know,A+B=1/6

C=13/72-1/6

C=1/72 days

B+C=1/9

B=1/9-C

B=1/9-1/72

B=7/72 days

A+C=1/12

A=1/12-C

A=1/12-1/72

A=5/72 days