O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Chapter: Unitary Method and Time and Work, Exercise 2: Exercise

Three men Suresh, Ramesh and Dinesh can do a piece of work in $9$ hours, $18$ hours, and $12$ hours respectively. How long will they take, if they work together?

$A$ and $B$ can do a piece of work in $10$ hours, $B$ and $C$ in $12$ hours and $C$ and $A$ in $15$ hours. How long will they take if they work together? How long will each take to complete the work independently?

A cistern can be filled by one tap in $4$ hours and by another in $5$ hours. How long will it take to fill if both taps are opened together? Write the answer in hours.

A cistern can be filled by one tap in $2\frac{1}{2}$ hours and by another in $3\frac{3}{4}$ hours. How long will the cistern take to fill, if they are opened together? Write the answer in hours.

One tap fills a tank in $12$ min. and another tap fills it in $15$ min. The waste-pipe can empty the tank in $10$ min. In what time will the tank be filled, if both are turned on and if the waste pipe has been left open accidentally? Write the answer in minutes.

A pipe can fill a cistern in $6$ hours. Due to a leak in the bottom it is filled in $7$ hours. When the cistern is full, in how much time will it be emptied by the leak? Write the answer in number of hours.

If $A$ and $B$ together can complete a work in $18$ days. $A$ and $C$ together in $12$ days and $B$ and $C$ together in $9$ days, then $B$ alone can do the work in

A cistern can be filled by a tap in $4$ hours and emptied by an outlet pipe in $6$ hours. How long will it take to fill the cistern, if both the tap and the pipe are opened together?