If A and B together can complete a work in 20 days and A and C together can complete the work in 30 days then in how many days A ,B and C will complete the work together?

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Calculate part of work done by each person each day. Calculate total part of work done in one part of time (in this case one day) by the total no. of persons. Then find out time required for 1 (whole) part of the work.

This process is applicable for most numericals of this type.