Question

A and b can do a piece of work in 6 days and 12 days respectively. They ( both) will complete the work in how many days?

Answer 1

Answer:

It will take A and B together 4 days to complete the work.

Step-by-step explanation:

The work can be done by A alone in 6 days.

The work can be done by B alone in 12 days.

A's one day work is, $\frac{1}{6}$.

B's one day work is, $\frac{1}{12}$.

Compute the work done by them together in 1 day as follows:

$\frac{1}{A}+\frac{1}{B} =\frac{1}{6}+\frac{1}{12}=\frac{3}{12} =\frac{1}{4}$

Then the number of days it will take both to complete the work is:

$No.\ of\ days=1/(\frac{1}{A}+\frac{1}{B}) =1/\frac{1}{4}=4$

Thus, it will take A and B together 4 days to complete the work.