Question

1 A & B. B & C And C & A can finish a work in 10, 12 & 15 days respectively. How long will it take to finish the Work if A, B & C work together? (a) 12 days (b) 2 days (c) 8 days (d) 4 days B&C can finish work in ?






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Answer 1

Answer:

So, to complete one piece of work together, it will take 8 days.

Step-by-step explanation:

A and B can do a piece of work in 10days.

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

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

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

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

In 1 day, (A+C) can do 1/15th 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) = 1/10 + 1/12 + 1/15

2 (A+B+C) = 15/60

On simplification, we get

(A+B+C) = 1/8

It means that,

In 1 day, (A+B+C) together can do 1/8th of the work.

So, to complete one piece of work together, it will take 8 days.