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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 open, the tank is filled in ‘r’ hours; then
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1 = 1 + 1 r p q -
1 = 1 - 1 r p q - r = p + q
- r = p – q
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Correct Option: B
According to question ,
∵ p < q,
∴ On opening pipe and sink together,
Part of the tub filled in 1 hour = | - | ||
p | q |
Clearly, | - | = | |||
p | q | r |