A and B can finish a piece of work in 12days and 18days respectively. A begin to the work and they work alternately one at a time for one day each.The whole work will be completed in?

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1 answer

A&B together can do 1/12 + 1/18 = 5/36 of the job in a day

So, it will take them 36/5 * 2 = 72/5 days. or 14 2/5 days

After 14 days, they have each worked 7 days, so

7 * 5/36 = 35/36 of the job is done.

On the 15th day A works 1/3 of a day to finish up the last 1/36 of the task.