A water tank is two-fifth full. Pipe A can fi | vedclass

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

Question

(A) Part of the tank filled by pipe $A$ in $1$ minute $= \frac{1}{10}$.Part of the tank emptied by pipe $B$ in $1$ minute $= \frac{1}{6}$.Since pipe $

Vedclass · Accepted Answer

$6$ minutes to empty

Vedclass · Answer

(A) Part of the tank filled by pipe $A$ in $1$ minute $= \frac{1}{10}$.Part of the tank emptied by pipe $B$ in $1$ minute $= \frac{1}{6}$.Since pipe $B$ empties faster than pipe $A$ fills,the net effect when both are open is emptying the tank.Net part of the tank emptied in $1$ minute $= \frac{1}{6} - \frac{1}{10} = \frac{5 - 3}{30} = \frac{2}{30} = \frac{1}{15}$.This means the tank is emptied at a rate of $\frac{1}{15}$ of the total capacity per minute.Since the tank is currently $\frac{2}{5}$ full,the time required to empty this $\frac{2}{5}$ portion is:Time $= \frac{	ext{Volume to be emptied}}{	ext{Rate of emptying}} = \frac{2/5}{1/15} = \frac{2}{5} 	imes 15 = 6$ minutes.Therefore,it will take $6$ minutes to empty the tank.

$A$ water tank is 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?

Similar Questions

There are two inlets $A$ and $B$ connected to a tank. $A$ and $B$ can fill the tank in $16 \text{ h}$ and $10 \text{ h}$,respectively. If both the pipes are opened alternately for $1 \text{ h}$,starting with $A$,then how much time will the tank take to 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?

$A$ cylindrical tank of diameter $25 \ cm$ is full of water. If $11 \ litres$ of water is drawn off,the water level in the tank will drop by (Use $\pi = 22/7$)?

$A$ 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?

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?

Vedclass Test Series

Exam Paper Generator

Online Exam Module