(D) Let the total capacity of the tank be $1$ unit.Rate of filling by tap $A = \frac{1}{4}$ unit per hour.Rate of filling by tap $B = \frac{1}{6}$ uni

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(D) Let the total capacity of the tank be $1$ unit.Rate of filling by tap $A = \frac{1}{4}$ unit per hour.Rate of filling by tap $B = \frac{1}{6}$ unit per hour.Rate of emptying by tap $C = \frac{1}{3}$ unit per hour.When all three taps are opened simultaneously,the net rate of filling is:$= \left(\frac{1}{4} + \frac{1}{6} - \frac{1}{3}\right)$ unit per hour.$= \left(\frac{3 + 2 - 4}{12}\right) = \frac{1}{12}$ unit per hour.Therefore,the time required to fill the tank completely is the reciprocal of the net rate:$= \frac{1}{1/12} = 12$ $hours$.

Competitive Quantitative Aptitude Pipes and Cistern Pipes and Cistern

Easy

$A$ water tank has three taps $A$,$B$ and $C$. Tap $A$,when opened,can fill the water tank alone in $4$ $hours$. Tap $B$,when opened,can fill the water tank alone in $6$ $hours$. Tap $C$,when opened,can empty the water tank alone in $3$ $hours$. If taps $A$,$B$ and $C$ are opened simultaneously,how long will it take to fill the tank completely? (in $hours$)

A
$10$
B
$8$
C
$18$
D
$12$

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Pipes and Cistern

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Pipes and Cistern

Three taps $A, B$ and $C$ can fill a tank in $12, 15$ and $20$ hours respectively. If $A$ is open all the time and $B$ and $C$ are open for one hour each alternately,the tank will be full in? (in hours)

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Two inlet pipes can fill a cistern in $10$ $hours$ and $12$ $hours$ respectively,and an outlet pipe can empty $80$ $gallons$ of water per hour. All three pipes working together can fill the empty cistern in $20$ $hours$. What is the capacity (in $gallons$) of the tank?

Easy

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Two taps $A$ and $B$ can fill an oil tank in $15$ $min$ and $18$ $min$ respectively,while a third tap is used to empty the tank. The third tap is opened after $6$ $min$ of opening of taps $A$ and $B$. If the tank empties in $16 \frac{1}{2}$ $min$ after opening the third tap,then in how much time (in $min$) can the third tap empty the full tank?

Medium

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$A$ pipe can empty a tank in $15$ $hrs$ and another pipe can empty it in $10$ $hrs$. If both the pipes are opened simultaneously, find the time in $hrs$ in which a full tank is emptied?

Easy

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$A$ tap can fill an empty tank in $12$ $hours$ and another tap can empty the half-filled tank in $10$ $hours$. If both the taps are opened together,then how much time (in $hours$) will it take to fill an empty tank half-filled?

Easy

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Three taps $A, B$ and $C$ can fill a tank in $12, 15$ and $20$ hours respectively. If $A$ is open all the time and $B$ and $C$ are open for one hour each alternately,the tank will be full in? (in hours)

Two inlet pipes can fill a cistern in $10$ $hours$ and $12$ $hours$ respectively,and an outlet pipe can empty $80$ $gallons$ of water per hour. All three pipes working together can fill the empty cistern in $20$ $hours$. What is the capacity (in $gallons$) of the tank?

$A$ pipe can empty a tank in $15$ $hrs$ and another pipe can empty it in $10$ $hrs$. If both the pipes are opened simultaneously, find the time in $hrs$ in which a full tank is emptied?

$A$ tap can fill an empty tank in $12$ $hours$ and another tap can empty the half-filled tank in $10$ $hours$. If both the taps are opened together,then how much time (in $hours$) will it take to fill an empty tank half-filled?

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