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A man can do a piece of work in 10 days but with the assistance of his son, the work is done in 8 days. In how many days, his son alone can do the same piece of work?

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15 days

22 days

30 days

40 days

answer is D.

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Detailed Solution

(Man+ Son)'s one day's work $= \frac{1}{8}$

Man's one day's work $= \frac{1}{10}$

$\Rightarrow$ Son's one day's work $= \frac{1}{8} - \frac{1}{10} = \frac{1}{40}$

$∴$ Son can do it in 40 days

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