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? the ci​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Let us give the job a value of 1.

A and B require 6 days to finish the job

⇒A and B finish \frac{1}{6}

6

1

of the job in 1 day.

A + B = \frac{1}{6}

6

1

Similarly we can say that,

B + C = \frac{1}{9}

9

1

and

A + C = \frac{1}{12}

12

1

Adding all of these,

A + B + B + C + C + A = \frac{1}{6}

6

1

+ \frac{1}{9}

9

1

+\frac{1}{12}

12

1

2A + 2B + 2C = \frac{6+4+3}{36}

36

6+4+3

2(A + B + C) = \frac{13}{36}

36

13

A + B + C = \frac{13}{72}

72

13

Therefore, they can complete the work in \frac{72}{13}

13

72

days