SSC CGL Tier II 1 Dec 2016 Paper 1

Question : 12 of 100

Marks: +1, -0

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

${1}/{r}= {1}/{p}+ {1}/{q}$
${1}/{r}= {1}/{p}- {1}/{q}$
$r=p+q$
$r=p-q$

Validate

Solution:

(2) ∵ P < q,
∴ On opening pipe and sink together,
Part of the tub filled in 1 hour

=1/P-1/q

Clearly,

{1}/{r}= {1}/{P}- {1}/{q}

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