Question : A alone can do a piece of work in 30 days. He worked at it for 5 days and then B alone finished the remaining work in 10 days. In how many days B alone can finish the entire work?
Option 1: 12 days
Option 2: 15 days
Option 3: 10 days
Option 4: 18 days
Correct Answer: 12 days
Solution :
1 day's work of A $=\frac{1}{30}$
5 day work of A $=\frac{5}{30}=\frac{1}{6}$
Remaining work = $1-\frac{1}{6}=\frac{5}{6}$
Now, the remaining work can be finished by B in 10 days
So, B alone can finish the work in $=\frac{10}{\frac{5}{6}}$
$=\frac{60}{5}=12$ days
Hence, the correct answer is 12 days.
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