Question

A B and C can do a piece of work in 6 8 and 12 days respectively B and C work together for 2 days then it takes place how long will it take to finish the work​

Answer 1

Total time taken to complete the work $= \frac{9}{2}$ days.

Explnation :-

A can do a piece of work in 6 days

So A can complete $\frac{1}{6}$ work in a day  

B can do a piece of work in 8 days

So B can complete $\frac{1}{8}$ work in a day  

C can do a piece of work in 12 days

So C can complete $\frac{1}{12}$ work in a day  

Total work will be $LCM(6, 8, 24) = 24$ in a day

B and C can complete $7$ in a day

So B and C can complete $14$ in 2 day

Remaining work will be $24 - 14 = 10$

A can complete 10 work in $\frac{5}{2}$ days

So the total time taken to complete the work $2 + \frac{5}{2} = \frac{9}{2}$  

Answer 2

Answer:

Hope it helps

Step-by-step explanation: