Three pipes A, B and C can fill a tank in 30 | vedclass

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

Question

(C) The rate of filling for pipes $A, B,$ and $C$ are $\frac{1}{30}, \frac{1}{20},$ and $\frac{1}{10}$ of the tank per minute,respectively.The total p

Vedclass · Accepted Answer

$\frac{6}{11}$

Vedclass · Answer

(C) The rate of filling for pipes $A, B,$ and $C$ are $\frac{1}{30}, \frac{1}{20},$ and $\frac{1}{10}$ of the tank per minute,respectively.The total part of the tank filled in $1 \ min$ by all three pipes is $\frac{1}{30} + \frac{1}{20} + \frac{1}{10} = \frac{2 + 3 + 6}{60} = \frac{11}{60}$.In $3 \ min$,the total part of the tank filled is $3 	imes \frac{11}{60} = \frac{33}{60} = \frac{11}{20}$.The amount of solution $R$ contributed by pipe $C$ in $3 \ min$ is $3 	imes \frac{1}{10} = \frac{3}{10}$.The fraction of solution $R$ in the total liquid in the tank after $3 \ min$ is $\frac{	ext{Amount of } R}{	ext{Total liquid}} = \frac{3/10}{11/20} = \frac{3}{10} 	imes \frac{20}{11} = \frac{6}{11}$.

Similar Questions

Three taps are fitted in a cistern. The empty cistern is filled by the first and the second taps in $3 \, h$ 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?

$A$ boy and a girl together fill a cistern with water. The boy pours $4$ litres of water every $3$ minutes and the girl pours $3$ litres every $4$ minutes. How much time (in minutes) will it take to fill $100$ litres of water in the cistern?

Two pipes $A$ and $B$ can fill a cistern in $24$ $minutes$ and $30$ $minutes$,respectively. There is also an outlet $C$. If all the three pipes are opened together,the cistern is full in $20$ $minutes$. How much time (in $minutes$) will be taken by outlet $C$ to empty the full cistern?

Vedclass Test Series

Exam Paper Generator

Online Exam Module