‘A’ alone can complete a piece of work in 16 days. Work done by B alone in one day is half of the work done by A alone in one day. In how many days can the work be completed, if A and B work together?
Explanation:
A can complete the work in 16 days.
Since B completes only half the work in a day as A, it means B will take twice the time than A to complete a certain work.
∴ If A can complete a certain task in 16 days, B will take 32 days to complete the same task.
∴ (A + B)’s work in 1 day = 1/16 + 1/32 = 3/32.
Hence, time taken by A and B together to complete the work = 32/3 days
Hence, option (c).
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