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

$A$ tap drips at a rate of $1$ drop/sec. If $600$ drops make $100 \text{ ml}$,the number of litres wasted in $300$ days is:

Pipe $X$ can fill a tank in $20$ $hours$ and pipe $Y$ can fill the tank in $35$ $hours.$ Both the pipes are opened on alternate hours. Pipe $Y$ is opened first,then in how much time (in hours) will the tank be full?

$A$ tank is filled in $5$ $hours$ by three pipes $A, B$ and $C$. Pipe $C$ is twice as fast as $B,$ and $B$ is twice as fast as $A$. How much time (in $hours$) will pipe $A$ alone take to fill the tank?

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?

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?

Vedclass Test Series

Exam Paper Generator

Online Exam Module