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A man can do a piece of work in 5 days. He and his son working together can finish it in 3 days. In how many days can the son do it alone?

(a) $6 \frac{1}{2}$ days

(b) 7 days

(c) $7 \frac{1}{2}$ days

(d) 8 days


(c) $7 \frac{1}{2}$ daysA man can do a work in 5 days.

The man's 1 day work $=\frac{1}{5}$

The man and the son can do the work in 3 days.

The man and his son's 1 day work $=\frac{1}{3}$

Let the son's 1 day work be $\frac{1}{x}$.



or, $\frac{1}{x}=\frac{1}{3}-\frac{1}{5}=\frac{5-3}{15}=\frac{2}{15}$

$x=\frac{15}{2}=7 \frac{1}{2}$ days

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