Abhijit Guha Solutions for Chapter: Pipes and Cistern, Exercise 2: Practice Problems Level 2

A, B and C are three pipes connected to a tank. A and B together fill the tank in $6$ hours, B and C in $10$ hours and C and A in $7.5$ hours. Then only A can fill the tank in

In a tank, there are three inlet pipes, P, Q and R, and one outlet pipe S. Pipe R fills the tank two times faster than pipe P and three times faster than pipe Q. Outlet S takes $10$ minutes to empty the full tank. Time taken by inlet R to fill the empty tank is $\frac{2}{5}$ th of time taken by S to empty the full tank. In what time will the inlets P and Q together fill the empty tank?

Two pipes can separately fill a tank in $10$ hours and $15$ hours, respectively. Both the pipes are opened to fill the tank but when the tank is $\frac{1}{4}$ full a leak develops in which $\frac{1}{3}$ of water supplied by both the pipes leak out. The total time taken to fill the tank is

A, B and C are pipes attached to a cistern. A and B can fill it in $20$ and $30$ minutes, respectively, which C can empty it in $15$ minutes. If A, Band C be kept open successively for $1$ minute each, how soon will the cistern be filled?

A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is $3,600 {\mathrm{m}}^3$. The emptying capacity of the tank is $10{ \mathrm{m}}^3$ per minute higher than its filling capacity and the pump needs $12$ minutes lesser to empty the tank than it needs to fill it. The filling capacity of the pump is

Mahesh has installed two pipes which can fill his overhead tank in $36$ minutes and $45$ minutes, respectively. He also planned for an outlet pipe which can empty the tank in $30$ minutes. While doing the first test run, he opened the first two pipes. After $7$ minutes, he opened the third pipe. In how much time

A tank has a leak which would empty it in $4$ hours. A tap is turned on which admits $3 \mathrm{L}$ per minute into the tank and it is now emptied in $8$ hours. How many litres does the tank hold?

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 hours the tank will be full?