A cistern has two taps which fill it in 12 mi | vedclass

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

Question

(B) Let the capacity of the cistern be the Least Common Multiple $(LCM)$ of $12, 15,$ and $20,$ which is $60$ units.
Efficiency of the first tap = $6

Vedclass · Accepted Answer

$10 	ext{ minutes}$

Vedclass · Answer

(B) Let the capacity of the cistern be the Least Common Multiple $(LCM)$ of $12, 15,$ and $20,$ which is $60$ units.
Efficiency of the first tap = $60 / 12 = 5$ units/min.
Efficiency of the second tap = $60 / 15 = 4$ units/min.
When all pipes are open, the net efficiency = $60 / 20 = 3$ units/min.
Let the efficiency of the waste pipe be $x$ units/min.
Then, $5 + 4 - x = 3$.
$9 - x = 3$, which gives $x = 6$ units/min.
Time taken by the waste pipe to empty the full cistern = $	ext{Total capacity} / 	ext{Efficiency of waste pipe} = 60 / 6 = 10$ minutes.

$A$ cistern has two taps which fill it in $12$ $minutes$ and $15$ $minutes,$ respectively. There is also a waste pipe in the cistern. When all the pipes are opened, the empty cistern is full in $20$ $minutes.$ How long will the waste pipe take to empty a full cistern?

Similar Questions

An inlet pipe fills $\frac{1}{8}$ part of a tank in $1 \ h$. How much time (in $h$) will the pipe take to fill the empty tank?

$A$ water tank is $\frac{2}{5}$ full. Pipe $A$ can fill the tank in $10$ $minutes$ and pipe $B$ can empty it in $6$ $minutes$. If both the pipes are open,then how long will it take to empty or fill the tank completely?

$A$ tap can fill a tank in $6$ $h$. After half the tank is filled,three more similar taps are opened. What is the total time taken to fill the tank completely?

Two taps can separately fill a cistern in $10$ $minutes$ and $15$ $minutes$ respectively. When the waste pipe is open,they can together fill it in $18$ $minutes$. The waste pipe can empty the full cistern in:

Vedclass Test Series

Exam Paper Generator

Online Exam Module