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A takes 24 day in completing a work alone.Time taken by A in completing 1/3rd of thework is equal to the time taken by B incompleting half of the work. How many dayswill be taken in completing the work if both A& B start working together?

A takes 24 day in completing a work alone.Time taken by A in completing 1/3rd of thework is equal to the time taken by B incompleting half of the work. How many dayswill be taken in completing the work if both A& B start working together? Correct Answer 48\/5\days

Ans. Time taken by A to complete a work alone - 24 daysTime taken by A in completing 1/3 of work = 24*1/3= 8 Days8 day = time taken by B in completing 1/2 of workB alone can complete the work = 16 daysThe required time in completing the work if both A & B start working together?16*24 / 40 = 48/5 Days

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