Question : If A and B together can do a piece of work in 20 days, and A alone can do the same work in 30 days, in how many days can B alone complete the same work?
Option 1: 45
Option 2: 40
Option 3: 60
Option 4: 50
Correct Answer: 60
Solution :
A and B together can do a piece of work in 20 days.
Part of the work A and B together can do in 1 day $=\frac{1}{20}$
A alone can do the work in 30 days.
Part of the work A can do in 1 day $=\frac{1}{30}$
$\therefore$ Part of the work B alone can do in a day $=\frac{1}{20} – \frac{1}{30} = \frac{1}{60}$
So, B will complete the work in 60 days.
Hence, the correct answer is 60 days.
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