Question

A and B together can do a piece of work in 20 days, B and C together can do it in 15 days ,C and A together can do it in 12 days. how long will they take to finish the work, working all together​

Answer 1

Step-by-step explanation:

the correct answer of your question is 10 days.

mark me as Brainliest

Answer 2

Step-by-step explanation:

To Find:

• How long will they take to finish the work together?

• Find the time taken to finish the work together:

• A and B together can do a piece of work in 15 days.

(A + B)'s one day work = 1/15 ____(i)

B and C together can do it in 12 days.

• (B + C)'s one day work = 1/12 ____(ii)

A and C can do it in 20 days.

• (A + C)'s one day work = 1/20 ____(iii)

Adding eqⁿ(i), eqⁿ(ii) and eqⁿ(iii).

(A + B) + (B + C) + (A + C) = 1/15 + 1/12 + 1/20

A + B + B + C + A + C = (4 + 5 + 3)/60

2A + 2B + 2C = 12/60

2(A + B + C) = 1/5

(A + B + C) = 1/(5 × 2)

(A + B + C) = 1/10

Here,

(A + B + C)'s one day work = 1/10

So, A, B and C together can finish the work in 10 days.