There are two inlets A and B connected to a t | vedclass

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

Question

(C) Efficiency of pipe $A = \frac{1}{16}$ tank per hour.Efficiency of pipe $B = \frac{1}{10}$ tank per hour.In a cycle of $2 	ext{ h}$ (first $A$ for

Vedclass · Accepted Answer

$12 \frac{2}{5} 	ext{ h}$

Vedclass · Answer

(C) Efficiency of pipe $A = \frac{1}{16}$ tank per hour.Efficiency of pipe $B = \frac{1}{10}$ tank per hour.In a cycle of $2 	ext{ h}$ (first $A$ for $1 	ext{ h}$,then $B$ for $1 	ext{ h}$),the part of the tank filled is $\frac{1}{16} + \frac{1}{10} = \frac{5+8}{80} = \frac{13}{80}$.In $6$ such cycles $(12 	ext{ h})$,the part filled is $6 	imes \frac{13}{80} = \frac{78}{80} = \frac{39}{40}$.Remaining part of the tank $= 1 - \frac{39}{40} = \frac{1}{40}$.Now,it is the turn of pipe $A$ to fill the remaining part.Time taken by $A$ to fill $\frac{1}{40}$ part $= \frac{1/40}{1/16} = \frac{16}{40} = \frac{2}{5} 	ext{ h}$.Total time taken $= 12 	ext{ h} + \frac{2}{5} 	ext{ h} = 12 \frac{2}{5} 	ext{ h}$.

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?

Similar Questions

$A$ tank can be filled by one tap in $20$ $min$ and by another tap in $60$ $min$. Both the taps are kept open for $5$ $min$ and then the $1$st tap is shut off. After this,how much more time (in $min$) will it take for the tank to be completely filled?

Two pipes,$A$ and $B,$ can separately fill a tank in $6$ $hours$ and $8$ $hours,$ respectively. Both the pipes are opened together,but $1 \frac{1}{2}$ $hours$ later pipe $A$ is turned off. How much time (in $hours$) will it take to fill the tank?

An empty tank can be filled by pipe $A$ in $4$ $h$ and by pipe $B$ in $6$ $h$. If the two pipes are opened for $1$ $h$ each alternately,starting with pipe $A$,then in how much time will the tank be filled?

$A$ pipe can empty a cistern in $27$ $hours$. Find the time (in $hours$) in which $\frac{2}{3}$ part of the cistern will be emptied?

Vedclass Test Series

Exam Paper Generator

Online Exam Module