Question

5. A and B can complete a work in 12 days. B and C can complete the same work in 18 days. C and A can complete in 24 days. How many days will take for A, B and C combined together to complete the same amount of work? in 20 days. If both of them work​

Answer 1

Answer:

A and B can do some work in 12 days, B and C in 15 days & C and A in 20 days. If A, B and C are together, how many days will it take to complete?

It is given that

A and B can do a piece of work in 12 days.

In 1 day, (A+B) can do 1/12th of the work.

B and C can do a piece of work in 15 days.

In 1 day, (B+C) can do 1/15th of the work.

A and C can do a piece of work in 20 days.

In 1 day, (A+C) can do 1/20th of the work.

Now, if we add on the work done by (A+B), (B+C) and (A+C), we will get the work done by (A+B+C) collectively in 1 day.

Therefore,

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

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

On simplification, we get

(A+B+C) = 1/10

It means that,

In 1 day, (A+B+C) together can do 1/10th of the work.

So, to complete one piece of work together, it will take 10 days.

Hope, it helps!

Step-by-step explanation:

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