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

$A$ water tank is two-fifth full. Pipe $A$ can fill a tank in $10$ minutes,and pipe $B$ can empty it in $6$ minutes. If both the pipes are opened,how long will it take to empty or fill the tank completely?

$A$ pipe can fill a tank with water in $3 \, h$. Due to a leak at the bottom,it takes $3 \frac{1}{2} \, h$ to fill it. In what time (in $hours$) will the leak empty the fully filled tank?

Having the same capacity,$9$ taps fill up a water tank in $20$ minutes. How many taps of the same capacity are required to fill up the same water tank in $15$ minutes?

Pipes $P$ and $Q$ can fill a tank in $5$ and $6 \, h$, respectively, and pipe $C$ can empty it in $3 \, h$. If all the three are opened at $7 \, am$, at what time will two-fifths of the tank be filled?

Vedclass Test Series

Exam Paper Generator

Online Exam Module