Three taps A, B and C can fill a tank in 12, | vedclass

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

Question

(D) The efficiency of tap $A = \frac{1}{12}$ tank/hour,tap $B = \frac{1}{15}$ tank/hour,and tap $C = \frac{1}{20}$ tank/hour.In the first hour,$A$ and

Vedclass · Accepted Answer

$7 	ext{ hours}$

Vedclass · Answer

(D) The efficiency of tap $A = \frac{1}{12}$ tank/hour,tap $B = \frac{1}{15}$ tank/hour,and tap $C = \frac{1}{20}$ tank/hour.In the first hour,$A$ and $B$ are open. Part of the tank filled $= \frac{1}{12} + \frac{1}{15} = \frac{5+4}{60} = \frac{9}{60} = \frac{3}{20}$ tank.In the second hour,$A$ and $C$ are open. Part of the tank filled $= \frac{1}{12} + \frac{1}{20} = \frac{5+3}{60} = \frac{8}{60} = \frac{2}{15}$ tank.Thus,in a cycle of $2$ hours,the total part of the tank filled $= \frac{3}{20} + \frac{2}{15} = \frac{9+8}{60} = \frac{17}{60}$ tank.In $3$ such cycles ($6$ hours),the part of the tank filled $= 3 	imes \frac{17}{60} = \frac{17}{20}$ tank.Remaining part to be filled $= 1 - \frac{17}{20} = \frac{3}{20}$ tank.In the $7^{th}$ hour,$A$ and $B$ are opened. They fill $\frac{3}{20}$ tank in exactly $1$ hour.Therefore,the total time taken $= 6 + 1 = 7$ hours.

Three taps $A, B$ and $C$ can fill a tank in $12, 15$ and $20$ hours respectively. If $A$ is kept open all the time,and $B$ and $C$ are opened for one hour each alternately,how long will it take to fill the tank?

Similar Questions

$A$ tap can fill a cistern in $40$ $min$ and a second tap can empty the filled cistern in $60$ $min$. By mistake, without closing the second tap, the first tap was opened. In how many $minutes$ will the empty cistern be filled?

Two pipes $A$ and $B$ can fill a tank in $24$ $min.$ and $48$ $min.$ respectively. If both the pipes are opened simultaneously,after how much time (in $minutes$) $B$ should be closed so that the tank is full in $20$ $minutes$?

$A$ pipe fills a water tank three times faster than another pipe. If the two pipes together can fill the empty tank in $36$ $minutes$,then how much time will the slower pipe 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 $\pi = 22/7$)?

$A$ 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?

Vedclass Test Series

Exam Paper Generator

Online Exam Module