Three pipes A, B and C can fill a tank from e | vedclass

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

Question

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

Vedclass · Accepted Answer

$\frac{6}{11}$

Vedclass · Answer

(B) The rate of filling for pipes $A, B$ and $C$ is $\frac{1}{30}, \frac{1}{20}$ and $\frac{1}{10}$ of the tank per minute respectively.The total part of the tank filled in one minute by all three pipes is $\frac{1}{30} + \frac{1}{20} + \frac{1}{10} = \frac{2 + 3 + 6}{60} = \frac{11}{60}$.The ratio of the volumes of solutions $P, Q$ and $R$ discharged into the tank is equal to the ratio of the rates of the pipes: $\frac{1}{30} : \frac{1}{20} : \frac{1}{10} = 2 : 3 : 6$.Since the pipes are opened simultaneously and run for the same duration ($3$ minutes),the proportion of each solution in the mixture remains constant regardless of the total volume filled.Therefore,the proportion of solution $R$ in the liquid is $\frac{6}{2 + 3 + 6} = \frac{6}{11}$.

Similar Questions

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?

$A$ tap can fill a cistern in $8$ $hours$ and another can empty it in $16$ $hours$. If both the taps are opened simultaneously,the time (in $hours$) to fill the tank is?

An empty pool being filled with water at a constant rate takes $8$ $hours$ to fill $\frac{3}{5}$ of its capacity. How much more time will it take to finish filling the pool?

$A$ tank has two pipes. The first pipe can fill it in $45$ minutes and the second can empty it in $1$ hour. In what time will the empty tank be filled if the pipes are opened one at a time in alternate minutes?

$A$ 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?

Vedclass Test Series

Exam Paper Generator

Online Exam Module