Question

B can do a piece of work in 6 hours, B and C together can do it in 4 hours, and
A, B and C together in 2
.
A, B and C together in 2
hours. In how many hours can A and B together do
.
the same piece of work?

Answer 1

B can do a piece of work in 6 hrs, B and C together can do it in 4 hrs and A, B and C together can do it in 2 hrs.

To find : time taken to complete the same price of work by A and B together.

solution : B can do a piece of work in 6 hrs.

so, B can do 1/6 work in one hour.

similarly, (B + C) can do 1/4 work in one hour.

so, C can do (1/4 - 1/6) = 1/12 work in one hour.

now (A + B + C) can do 1/2 work in one hour.

so, (A + B) can do (1/2 - 1/12) = 5/12 work in one hour.

Therefore (A + B) can do the same piece of work in 1/(5/12) hrs = 12/5 hrs = 2 hrs 24 minutes.

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Answer 2

Answer:

Step-by-step explanation: