A cistern can be filled by two pipes A and B | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The part of the tank filled by pipe $A$ in $1 	ext{ hour}$ is $\frac{1}{4}$.The part of the tank filled by pipe $B$ in $1 	ext{ hour}$ is $\frac

Vedclass · Accepted Answer

$3 \frac{3}{7} 	ext{ hrs}$

Vedclass · Answer

(B) The part of the tank filled by pipe $A$ in $1 	ext{ hour}$ is $\frac{1}{4}$.The part of the tank filled by pipe $B$ in $1 	ext{ hour}$ is $\frac{1}{6}$.The part of the tank emptied by pipe $C$ in $1 	ext{ hour}$ is $\frac{1}{8}$.When all three pipes are opened simultaneously,the net part of the tank filled in $1 	ext{ hour}$ is $\frac{1}{4} + \frac{1}{6} - \frac{1}{8}$.Taking the least common multiple $(LCM)$ of $4, 6,$ and $8$,which is $24$:Net part filled in $1 	ext{ hour} = \frac{6 + 4 - 3}{24} = \frac{7}{24}$.Therefore,the total time required to fill the cistern is the reciprocal of the net part filled per hour:$	ext{Time} = \frac{24}{7} = 3 \frac{3}{7} 	ext{ hours}$.

$A$ cistern can be filled by two pipes $A$ and $B$ in $4$ $hours$ and $6$ $hours$ respectively. When full,the tank can be emptied by a third pipe in $8$ $hours$. If all the taps are turned on at the same time,the cistern will be full in?

Similar Questions

Two pipes $A$ and $B$ can fill a cistern in $4$ $minutes$ and $6$ $minutes,$ respectively. If these pipes are turned on alternately for $1$ $minute$ each,then how long will it take for the cistern to fill?

$A$ water tank has two taps $A$ and $B$. Tap $A$ can fill it in $6$ hours,and tap $B$ can empty it in $5$ hours. If both taps are opened simultaneously,how much time (in hours) is required to empty the tank?

$A$ leak in the bottom of a tank can empty the full tank in $8$ $hours$. An inlet pipe fills water at the rate of $6$ $litres$ a minute. When the tank is full,the inlet pipe is opened and due to the leak,the tank is empty in $12$ $hours$. How many litres does the tank hold?

Two pipes can fill a tank in $15$ $hours$ and $12$ $hours$ respectively,while a third pipe can empty it in $20$ $hours$. If the tank is empty and all three pipes are opened together,then in how much time will it take to fill the tank completely?

Vedclass Test Series

Exam Paper Generator

Online Exam Module