A can do a piece of work in 20 days and B can do the same piece of work in 30 days. Find that in how many days both can do the work?
A can do a piece of work in 20 days and B can do the same piece of work in 30 days. Find that in how many days both can do the work?
[A]10 days
[B]12 days
[C]14 days
[D]16 days
12 days
A’s 1 day’s work $latex = \frac{1}{20}&s=1$
B’s 1 day’s work $latex = \frac{1}{30}&s=1$
∴ (A + B)’s 1 day’s work $latex = \frac{1}{20} + \frac{1}{30} = \frac{3+2}{60} = \frac{1}{12}&s=1$
So, the work will be completed in 12 days if they work together.
Hence option [B] is correct answer.