Question

A and B can finish a piece of work in 16 days and 12 days respectively I started the work and worked at it for two days he was then joined by b find the total time taken to finish the work​

Answer 1

Answer:

8 days

Step-by-step explanation:

A can do 1/16 work in 1 day.

B can do 1/12 work in 1 day.

Total = 1/16 + 1/12 = 7/48 work

A did work for 2 days.

That is he did 1/8 of the work, and 7/8 is left.

Both of them must do 7/8 work, and can do 7/48 work in a day

Therefore time taken is (7/8)/(7/48) which is 6. A worked on it for 2 days. Therefore, total day taken = 6 + 2 = 8 days.

Hope it helped you!

Answer 2

Answer:

8 days

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