A can do a piece of work in 4 days and B can do it in 12 days. In how many days will they finish the work, both working together?
A can do a piece of work in 4 days and B can do it in 12 days. In how many days will they finish the work, both working together?
[A]2 days
[B]3 days
[C]4 days
[D]6 days
3 days
A’s 1 day’s work $latex = \frac{1}{4}&s=1$
B’s 1 day’s work $latex = \frac{1}{12}&s=1$
(A + B)’s 1 day’s work $latex = \frac{1}{4} + \frac{1}{12}&s=1$
$latex = \frac{3+1}{12} = \frac{4}{12} = \frac{1}{3}&s=1$
∴ Required Time = 3 days
Hence option [B] is correct answer.