R. S. Aggarwal Solutions for Chapter: Pipes and Cistern, Exercise 1: EXERCISE 16A

Two pipes can fill a cistern in $15$ hours and $12$ hours respectively and a third pipe can empty the full tank in $4$ hours. If these pipes are opened respectively at $8 \mathrm{A}.\mathrm{M}., 9 \mathrm{A}.\mathrm{M}.$ and $11 \mathrm{A}.\mathrm{M}.,$ then at what time the tank shall be empty ?

The cistern is filled in $12$ hours when two pipes are made to function simultaneously. If one pipe fills the cistern $10$ hours faster than the other, the second pipe will fill the cistern in

A cistern can be filled by two pipes $\mathrm{A}$ and $\mathrm{B}$ in $24$ minutes and $32$ minutes respectively. If both the pipes are opened together, then after how much time $\mathrm{B}$ should be closed so that the tank is full in $18$ minutes ?

A tank is fitted with two taps $\mathrm{A}$ and $\mathrm{B}. \mathrm{A}$ can fill the tank in $45$ minutes and $\mathrm{B}$ can empty the full tank in $1$ hour. If both the taps are opened alternately for $1$ minute, in how much time the empty tank will be filled completely ?

Three taps $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ working together, can fill a cistern in $5$ hours. If the speed of $\mathrm{C}$ is double that of $\mathrm{B}$ and the speed of $\mathrm{B}$ is double that of $\mathrm{A},$ then how much time $\mathrm{A}$ alone takes to fill the empty cistern ?

The speed of a pipe is thrice the speed of the other pipe. If both working together can fill a tank in $36$ minutes, then how much time will slower pipe take to fill it?

$12$ buckets.fill a tank, whereas the capacity of each bucket is $13.5$ litres. How many buckets of capacity 9 litres each can fill the tank ?

A tap takes $36$ hours extra to fill a tank due to a leakage equivalent to half of its inflow. In how many hours can the inflow fill the tank?