(B) Let the total capacity of the cistern be the least common multiple of $3, 4,$ and $5$,which is $60$ units.Efficiency of the first tap $= 60 / 3 =

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(B) Let the total capacity of the cistern be the least common multiple of $3, 4,$ and $5$,which is $60$ units.Efficiency of the first tap $= 60 / 3 = 20$ units/h.Efficiency of the second tap $= 60 / 4 = 15$ units/h.Efficiency of the third tap (emptying) $= - (60 / 5) = -12$ units/h.When all three taps are opened simultaneously,the net efficiency $= 20 + 15 - 12 = 23$ units/h.Time taken to fill the cistern $= \text{Total capacity} / \text{Net efficiency} = 60 / 23 \, h = 2 \frac{14}{23} \, h$.

Competitive Quantitative Aptitude Pipes and Cistern Pipes and Cistern

Easy

Three taps are fitted to a cistern. The empty cistern is filled by the first and second taps in $3$ and $4 \, h$,respectively. The full cistern is emptied by the third tap in $5 \, h$. If all three taps are opened simultaneously,the empty cistern will be filled up in?

A
$1 \frac{14}{23} \, h$
B
$2 \frac{14}{23} \, h$
C
$2 \, h \, 40 \, min$
D
$1 \, h \, 56 \, min$

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Pipes and Cistern

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Pipes and Cistern

$A, B$ and $C$ are three pipes connected to a tank. $A$ and $B$ together fill the tank in $6$ $hrs$. $B$ and $C$ together fill the tank in $10$ $hrs$,and $C$ and $A$ together fill the tank in $7 \frac{1}{2}$ $hrs$. In how much time (in $hours$) will $A, B$ and $C$ fill the tank together?

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$A$ booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is $2400 m^3$. The emptying capacity of the tank is $10 m^3/min$ higher than its filling capacity and the pump needs $8$ minutes less to empty the tank than it needs to fill it. What is the filling capacity of the pump?

Medium

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$A$ pump can fill a tank with water in $2$ $hours$. Because of a leak,it took $2 \frac{1}{3}$ $hours$ to fill the tank. The leak can drain all the water of the tank in (in $hours$)?

Medium

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Two pipes $A$ and $B$ can separately fill a cistern in $60$ $minutes$ and $75$ $minutes$ respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened,then the cistern is full in $50$ $minutes$. In how much time (in $minutes$) can the third pipe alone empty the cistern?

Medium

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Inlet $A$ is four times faster than inlet $B$ to fill a tank. If inlet $A$ alone can fill it in $15$ minutes,how long will it take if both the pipes are opened together? (in minutes)

Easy

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Three taps are fitted to a cistern. The empty cistern is filled by the first and second taps in $3$ and $4 \, h$,respectively. The full cistern is emptied by the third tap in $5 \, h$. If all three taps are opened simultaneously,the empty cistern will be filled up in?

Similar Questions

$A, B$ and $C$ are three pipes connected to a tank. $A$ and $B$ together fill the tank in $6$ $hrs$. $B$ and $C$ together fill the tank in $10$ $hrs$,and $C$ and $A$ together fill the tank in $7 \frac{1}{2}$ $hrs$. In how much time (in $hours$) will $A, B$ and $C$ fill the tank together?

$A$ pump can fill a tank with water in $2$ $hours$. Because of a leak,it took $2 \frac{1}{3}$ $hours$ to fill the tank. The leak can drain all the water of the tank in (in $hours$)?

Inlet $A$ is four times faster than inlet $B$ to fill a tank. If inlet $A$ alone can fill it in $15$ minutes,how long will it take if both the pipes are opened together? (in minutes)

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