# A alone can complete a work in 16 days B alone in 12 days. starting with A, they work on alternate days. the total work completed in how many days

2
by dar

Log in to add a comment

by dar

Log in to add a comment

Let W be the work.

Then

A x 16 = W

B x !2 = W

Total work to be completed is W

Since A and B are working in alternate days , only half of the work they do alone is required when they work together to complete the task.

Hence,

2 2

So the days taken to complete the whole work by A and B is 14 days.