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If A can complete a task in 30 days while B takes 60 days to complete the same task, how long will they take to complete the task if they worked together?
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A can do the job alone in 30 days.
Therefore, she will complete 1\30th of the task in a day.
Similarly, B will complete 1\60th of the task in a day.
Working together they will complete 1\30+1\60=2+1\60
= 1\20th of the task in a day.
Hence, working together, they will complete the task in 20 days.