Question 38

Two friends A and B working together can complete a piece of work in 16 days. A alone can do the same work in 32 days. If A and B work on alternate days, starting with B, the time (days) in which the work can be completed is

Solution

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A and B together can do the work in 16 days.

So, in 1 day they together can do (1/16) part of the work.

A can do (1/32) part of work in 1 day.

So,B can do $$(1/16-1/32)=1/32$$ part of work in 1 day.

So,if B do work in alternative days then they together have to work for 32 days i.e.

$$32×(1/32)=1$$.

D is correct choice.

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