Two taps can fill a tank in 20 min and 30 min | vedclass

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

Question

(B) Let the first tap be closed after $x$ minutes.The rate of the first tap is $1/20$ tank per minute,and the rate of the second tap is $1/30$ tank pe

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(B) Let the first tap be closed after $x$ minutes.The rate of the first tap is $1/20$ tank per minute,and the rate of the second tap is $1/30$ tank per minute.The first tap worked for $x$ minutes,and the second tap worked for the entire $18$ minutes.According to the problem,the total work done is equal to filling one full tank:$\frac{x}{20} + \frac{18}{30} = 1$Simplify the equation:$\frac{x}{20} + \frac{3}{5} = 1$Subtract $3/5$ from both sides:$\frac{x}{20} = 1 - \frac{3}{5}$$\frac{x}{20} = \frac{2}{5}$Solve for $x$:$x = \frac{2}{5} 	imes 20$$x = 8$ minutes.Thus,the first tap was closed after $8$ minutes.

Two taps can fill a tank in $20$ $min$ and $30$ $min$ respectively. When the tank was empty,both the taps were opened,and after some time,the first tap was closed. It took $18$ $min$ in total to fill the tank. After how much time (in $minutes$) from the beginning was the first tap closed?

Similar Questions

Pipes $P$ and $Q$ can fill a tank in $10$ and $12$ $h$, respectively, and pipe $C$ can empty it in $6$ $h$. If all the three are opened at $7$ $am$, at what time will one-fourth of the tank be filled?

$A$ pump can fill a tank with water in $2$ $hours$. Because of a leak,it took $2 \frac{1}{3}$ $hours$ to fill the tank. The leak can drain all the water of the tank in (in $hours$)?

Three pipes $A, B$ and $C$ can fill a tank in $6$ $hours$. After working together for $2$ $hours$,$C$ is closed and $A$ and $B$ fill the remaining part in $7$ $hours$. The number of $hours$ taken by $C$ alone to fill the tank is?

Two pipes $A$ and $B$ can fill a tank in $1$ $h$ and $75$ $min,$ respectively. There is also an outlet $C$. If all the three pipes are opened together, the tank is full in $50$ $min.$ How much time (in $minutes$) will be taken by $C$ to empty the full tank?

Vedclass Test Series

Exam Paper Generator

Online Exam Module