Question

A and B can do a given piece of work in 8 days B and C can do the same work in 12 days and a b c complete it in 6 days in how many days can A and C finish it​

Answer 1

Answer:

24 days

Step-by-step explanation:

a+b=1/8;b+c=1/12;a+ b+c=1/6

1/8+1/12=20/96=5/24-1/6

5-4/24=1/24 1/24=24days

So a and can do the work in 24 days

Answer 2

A and C together complete the work in 8 day.

Step-by-step explanation:

Consider the provided information.

A and B can do a given piece of work in 8 days.

The one day work of A and B is = $\frac{1}{8}$

B and C can do the same work in 12 days

The one day work of B and C is = $\frac{1}{12}$

Let A and C complete the work in x days

The one day work of A and C is = $\frac{1}{x}$

A, B and C can do a given piece of work in 6 days.

The one day work of A, B and C is = $\frac{1}{6}$

Thus, (A+B+B+C+C+A)’s one day’s work = $\frac{1}{8}+\frac{1}{12}+\frac{1}{x}$

$2(A+B+C)=\frac{3x+2x+24}{24x}$

$2\times\frac{1}{6} =\frac{5x+24}{24x}$

$8x=5x+24$

$3x=24\\x=8$

Hence, A and C together complete the work in 8 day.

#Learn more

A man has some hens and some cows. if the number of feer 12:35, find out the numbers of hens , if number of head alone is 48.

a)24

b)26

c)28

d)30

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