Editorial Board Solutions for Chapter: Arithmetic Maths, Exercise 1: PIPES - CISTERNS

Two pipes $A$ and $B$ can separately fill a cistern in $10$ minutes and $15$ minutes respectively. A person opens both the pipes together when the cistern should have been full he finds the waste pipe. He then closes the waste pipe and in another $4$ minutes the cistern was full. In what time can the waste pipe empty the cistern when full.

An outlet pipe can empty ${\frac{2}{3}}^{rd}$ of a cistern in $12$ minutes, in $8$ minutes what part of the cistern will be emptied?

Two pipes can separately fill a tank in $20$ hours and $30$ hours respectively. Both the pipes are opened to fill the tank but when the tank is full, a leak develops in the tank through which one third of water supplied by both the pipes goes out what is the total time taken to fill the tank?

If two pipes function simultaneously the reservoir will be filled in $12$ hours. One pipe fills the reservoir $10$ hours faster than the other. How many hours does the faster pipe take to fill the reservoir?

Two pipes $P$ and $Q$ would fill a cistern in $18$ and $24$ minutes respectively. Both pipes being opened. Find when the first pipe must be turned off so that the cistern may be just filled in $12$ minutes?

A cistern which could be filled in an hour takes one hour more to be filled owing to a leak in it bottom. If the cistern is full in what time will the leak empty it?

A pipe can fill a cistern in $20$ minutes where as the cistern when full can be emptied by a second pipe in $2$ hours. When both pipes are opened find when the cistern will be full?

Pipes $A$ and $B$ can fill a cistern in $8$ and $24$ minutes respectively. They are opened on alternate minutes. Find in how many minutes, the cistern shall be full?