A water tap fills a tub in 'p' hours and a sink at the bottom empties it in 'q' hours. If p Options: A . &nbsp$$\frac{1}{r} = \frac{1}{p} + \frac{1}{q}$$ B . &nbsp$$\frac{1}{r} = \frac{1}{p} - \frac{1}{q}$$ C . &nbsp$$r{\text{ = }}p{\text{ }} + {\text{ }}q$$ D . &nbsp$${\text{ }}r{\text{ }} = {\text{ }}p{\text{ }} - {\text{ }}q$$

A water tap fills a tub in 'p' hours and a sink at the bottom empties it in 'q'

Question

A water tap fills a tub in 'p' hours and a sink at the bottom empties it in 'q' hours. If p < q and both tap and sink are opened the tank is filled in 'r' hours, then the relation between p, q, r :

Options:

A . $$\frac{1}{r} = \frac{1}{p} + \frac{1}{q}$$

B . $$\frac{1}{r} = \frac{1}{p} - \frac{1}{q}$$

C . $$r{\text{ = }}p{\text{ }} + {\text{ }}q$$

D . $${\text{ }}r{\text{ }} = {\text{ }}p{\text{ }} - {\text{ }}q$$

Answer: Option B

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