(A) Let the total capacity of the tank be the Least Common Multiple $(LCM)$ of $30, 10,$ and $40$,which is $120$ units.Efficiency of pipe $A = 120 / 3

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$9 \frac{3}{13} \text{ minutes}$

(A) Let the total capacity of the tank be the Least Common Multiple $(LCM)$ of $30, 10,$ and $40$,which is $120$ units.Efficiency of pipe $A = 120 / 30 = 4 \text{ units/min}$.Efficiency of pipe $B = 120 / 10 = 12 \text{ units/min}$.Efficiency of pipe $C = 120 / 40 = 3 \text{ units/min}$ (emptying,so negative).When all pipes are opened together,the net efficiency = $4 + 12 - 3 = 13 \text{ units/min}$.Time required to fill the tank = $\frac{\text{Total Capacity}}{\text{Net Efficiency}} = \frac{120}{13} \text{ minutes}$.Converting to mixed fraction: $120 / 13 = 9 \frac{3}{13} \text{ minutes}$.

Competitive Quantitative Aptitude Pipes and Cistern Pipes and Cistern

Medium

Pipe $A$ can fill a tank in $30$ minutes,while pipe $B$ can fill the same tank in $10$ minutes and pipe $C$ can empty the full tank in $40$ minutes. If all the pipes are opened together,how much time will be needed to make the tank full?

A
$9 \frac{3}{13} \text{ minutes}$
B
$9 \frac{4}{13} \text{ minutes}$
C
$9 \frac{7}{13} \text{ minutes}$
D
$9 \frac{9}{13} \text{ minutes}$

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Pipes and Cistern

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Pipes and Cistern

$A$ swimming pool has $3$ drain pipes. The first two pipes $A$ and $B$,operating simultaneously,can empty the pool in half the time that $C$ (the $3rd$ pipe) alone takes to empty it. Pipe $A$,working alone,takes half the time taken by pipe $B$. Together they take $6$ $hours$ $40$ $minutes$ to empty the pool. Time taken by pipe $A$ to empty the pool,in hours,is

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$A$ cistern has a leak which would empty it in $8$ $hours$. $A$ tap is turned on which admits $6$ $litres$ a minute into the cistern,and it is now emptied in $12$ $hours$. How many $litres$ does the cistern hold?

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Two taps $A$ and $B$ can fill a tank in $20 \text{ min}$ and $30 \text{ min}$,respectively. An outlet pipe $C$ can empty the full tank in $15 \text{ min}$. If $A, B$,and $C$ are opened alternatively,each for $1 \text{ min}$,how long (in $\text{min}$) will the tank take to be filled?

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Two pipes can fill a tank in $20$ and $24$ $minutes$ respectively and a waste pipe can empty $3$ $gallons$ per $minute$. All the three pipes working together can fill the tank in $15$ $minutes$. The capacity of the tank is?

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$A$ pipe can fill a tank with water in $3 \, h$. Due to a leak at the bottom,it takes $3 \frac{1}{2} \, h$ to fill it. In what time (in $hours$) will the leak empty the fully filled tank?

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Pipe $A$ can fill a tank in $30$ minutes,while pipe $B$ can fill the same tank in $10$ minutes and pipe $C$ can empty the full tank in $40$ minutes. If all the pipes are opened together,how much time will be needed to make the tank full?

Similar Questions

$A$ cistern has a leak which would empty it in $8$ $hours$. $A$ tap is turned on which admits $6$ $litres$ a minute into the cistern,and it is now emptied in $12$ $hours$. How many $litres$ does the cistern hold?

Two taps $A$ and $B$ can fill a tank in $20 \text{ min}$ and $30 \text{ min}$,respectively. An outlet pipe $C$ can empty the full tank in $15 \text{ min}$. If $A, B$,and $C$ are opened alternatively,each for $1 \text{ min}$,how long (in $\text{min}$) will the tank take to be filled?

Two pipes can fill a tank in $20$ and $24$ $minutes$ respectively and a waste pipe can empty $3$ $gallons$ per $minute$. All the three pipes working together can fill the tank in $15$ $minutes$. The capacity of the tank is?

$A$ pipe can fill a tank with water in $3 \, h$. Due to a leak at the bottom,it takes $3 \frac{1}{2} \, h$ to fill it. In what time (in $hours$) will the leak empty the fully filled tank?

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