Question : A and B together can do a piece of work in 24 days. A alone can do this work in 40 days. In how many days can B alone do this work?
Option 1: 40 days
Option 2: 56 days
Option 3: 60 days
Option 4: 16 days
Correct Answer: 60 days
Solution :
Given: A and B together can do a piece of work in 24 days. A alone can do this work in 40 days.
A alone in 1 day can do $\frac{1}{40}$ part of the work.
A and B together in 1 day can do $\frac{1}{24}$ part of the work.
So, B alone in 1 day can do $(\frac{1}{24}-\frac{1}{40})=\frac{2}{120}=\frac{1}{60}$ part of the work.
Thus, B alone can complete the work in $(1÷\frac{1}{60})=60$ days.
Hence, the correct answer is 60 days.
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