A water tank is frac{2}{5} full. Pipe A can f | 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 $1$ unit.Pipe $A$ fills the tank in $10$ minutes,so its rate is $\frac{1}{10}$ unit/minute.Pipe $B$ empties the ta

Vedclass · Accepted Answer

$6 	ext{ minutes to empty}$

Vedclass · Answer

(B) Let the capacity of the tank be $1$ unit.Pipe $A$ fills the tank in $10$ minutes,so its rate is $\frac{1}{10}$ unit/minute.Pipe $B$ empties the tank in $6$ minutes,so its rate is $-\frac{1}{6}$ unit/minute.When both pipes are open,the net rate is $\frac{1}{10} - \frac{1}{6} = \frac{3-5}{30} = -\frac{2}{30} = -\frac{1}{15}$ unit/minute.The negative sign indicates that the tank is being emptied.The tank is currently $\frac{2}{5}$ full.Time taken to empty the $\frac{2}{5}$ portion = $\frac{	ext{Volume to be emptied}}{	ext{Net rate}} = \frac{2/5}{1/15} = \frac{2}{5} 	imes 15 = 6$ minutes.Therefore,it will take $6$ minutes to empty the 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?

Similar Questions

Pipe $A$ can fill a tank in $5$ $hours$,pipe $B$ in $10$ $hours$,and pipe $C$ in $30$ $hours$. If all the pipes are opened,in how many $hours$ will the tank be filled?

$A$ tank is filled in $5$ $hours$ by three pipes $A, B$ and $C$. The pipe $C$ is twice as fast as $B$ and $B$ is twice as fast as $A$. How much time (in $hours$) will pipe $A$ alone take to fill the tank?

If two pipes function together,the tank will be filled in $12$ $h$. One pipe fills the tank $10$ $h$ faster than the other. How many $h$ does the faster pipe take to fill up the tank?

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?

If two pipes function simultaneously,the reservoir will be filled in $6$ $hours$. One pipe fills the reservoir $5$ $hours$ faster than the other. How many hours does the faster pipe take to fill the reservoir?

Vedclass Test Series

Exam Paper Generator

Online Exam Module