Two pipes can fill an empty tank separately i | vedclass

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

Question

(B) Let the capacity of the tank be $C$ gallons.The first pipe fills the tank in $24$ minutes,so its rate is $\frac{C}{24}$ gallons/minute.The second

Vedclass · Accepted Answer

$600$

Vedclass · Answer

(B) Let the capacity of the tank be $C$ gallons.The first pipe fills the tank in $24$ minutes,so its rate is $\frac{C}{24}$ gallons/minute.The second pipe fills the tank in $40$ minutes,so its rate is $\frac{C}{40}$ gallons/minute.The third pipe empties the tank at a rate of $30$ gallons/minute.When all three pipes are open,the net rate of filling is $\frac{C}{24} + \frac{C}{40} - 30$ gallons/minute.Since the tank is filled in $1$ hour ($60$ minutes),we have:$60 	imes (\frac{C}{24} + \frac{C}{40} - 30) = C$Simplify the expression inside the parentheses:$\frac{5C + 3C}{120} - 30 = \frac{C}{60}$$\frac{8C}{120} - 30 = \frac{C}{60}$$\frac{C}{15} - 30 = \frac{C}{60}$Multiply the entire equation by $60$ to clear the denominators:$4C - 1800 = C$$3C = 1800$$C = 600$Therefore,the capacity of the tank is $600$ gallons.

Two pipes can fill an empty tank separately in $24$ $minutes$ and $40$ $minutes$ respectively,and a third pipe can empty $30$ $gallons$ of water per $minute$. If all three pipes are opened,the empty tank becomes full in one $hour$. The capacity of the tank (in $gallons$) is:

Similar Questions

$A$ water tank has two pipes. The empty tank is filled in $12$ $min$ by the $1$st pipe and the full tank is emptied by the $2$nd pipe in $20$ $min$. What is the time required to fill the $1/2$ full tank when both pipes are in action (in $min$)?

Two pipes can fill a cistern separately in $24$ $minutes$ and $40$ $minutes$ respectively. $A$ waste pipe can drain off $30 \text{ litres per minute}$. If all the three pipes are opened,the cistern fills in one $hour$. The capacity (in $litres$) of the cistern is:

Two pipes $A$ and $B$ can fill a tank in $30$ $minutes$ and $45$ $minutes$ respectively. Pipe $C$ can empty the full 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?

$A$ 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?

Two pipes $A$ and $B$ can fill a tank in $37 \frac{1}{2}$ minutes and $45$ minutes respectively. If both pipes are opened together,after how much time (in minutes) should pipe $B$ be closed so that the tank is full in exactly $30$ minutes?

Vedclass Test Series

Exam Paper Generator

Online Exam Module