Question : A man can do a piece of work in 30 hours. If he works with his son, then the same piece of work is finished in 20 hours. If the son works alone, he can do the work in:
Option 1: 60 hours
Option 2: 50 hours
Option 3: 25 hours
Option 4: 10 hours
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Correct Answer: 60 hours
Solution :
Using: If a man can do the work in $n$ hours, then 1 hour's work of the man $=\frac{1}{n}$. Man's work in an hour = $\frac{1}{30}$
Man and son's work in an hour = $\frac{1}{20}$
Son can complete the work = $\frac{1}{20}-\frac{1}{30}$
⇒ $\frac{3-2}{60}$ = $\frac{1}{60}$
Time taken by his son to complete the work alone = 60 hours
Hence, the answer is 60 hours.
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