Monica Capoor Solutions for Chapter: Time and Work, Exercise 3: HOTS

$A$ can do a piece of work in $20$ days and $B$ in $30$ days. They began to work together but $A$ left after some days. $B$ finished the remaining work in $10$ days. After how many days did $A$ leave?

$\mathrm{A}$ pipe can fill a tank in $10$ hours. Due to a leak at its bottom, the tank takes $2$ hours extra to fill. If the tank is full, in how much time will it be emptied by the leak$?$

Pipe $\mathrm{A}$ can fill an overhead tank in $10$ hours and pipe $\mathrm{B}$ can fill it in $15$ hours. Both the pipes are opened and after $4$ hours pipe $\mathrm{B}$ is closed. How much time will $\mathrm{A}$ take to fill the remaining part of the tank$?$