(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

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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

If two pipes function simultaneously,the reservoir will be filled in $12$ $hours$. One pipe fills the reservoir $10$ $hours$ faster than the other. How many $hours$ does the faster pipe take to fill the reservoir?

Two pipes $A$ and $B$ can fill a tank in $30$ $minutes$ and $45$ $minutes$ respectively. Pipe $C$ can empty the tank in $36$ $minutes$. Initially,pipes $A$ and $B$ are opened. After $12$ $minutes$,pipe $C$ is also opened. What is the total time (in $minutes$) required to fill the tank?

$A$ tank can be filled with water by two pipes $A$ and $B$ together in $36$ minutes. If the pipe $B$ was closed after $30$ minutes,the tank is filled in $40$ minutes. The pipe $B$ can alone fill the tank in?

If three taps are opened together,a tank is filled in $12$ $hrs$. One of the taps can fill it in $10$ $hrs$ and another in $15$ $hrs$. How many $hours$ does the third tap take alone to empty it completely?

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