Application of Unitary Method in Time and Work

$6$ pipes can fill a tank in $1 hour 24 minutes$. How long (in minutes)will it take to fill the tank if $7$ pipes of the same type are used?

Rajan can do a piece of work in $12$ days and Shyam can do the same work in $18$ days. How many days will they take to do the work together?

There are three pipes for a tank. These three pipes separately fill the tank in $2,6\text{ and} 4$ hours respectively. If the three pipes remain open together calculate when the tank will be filled with water.

There are two pipes for taking water from the municipality water tank. The tank can be emptied in $8$ hours by the two pipes separately. If both the pipes remain opened, let's calculate when the full tank will be emptied.

Raju, Ramya and Rani together doing a work. Raju, Ramya and Rani separately can complete the work in $12,4 \& 6 \text{days}$ respectively. If they all work together, then let's calculate how many days they will take to complete the work.

Harun chacha can complete a work in $30 \mathrm{days}$. How many days will he take to complete the $\frac{1}{6}$ part of the work?

If $A$ can do a piece of work in $4$ days, then one day work of $A$ is $\frac{3}{4}$.

$A$ and $B$ together can complete a piece of work in $4$ days. If $B$ alone can complete the work in $12$ days, in how many days can $A$ alone complete that work? 

$A$ can finish a work in $18$ days and $B$ can do the same work in $9$ days. Then they are working together they can finish the work in $6$ days.

$A$ can do a piece of work in $10$ days, and $B$ does the same work in $15$ days. In how many days they together will do the same work?

$A,B$ and $C$ have to do a piece of work for $₹1800$. $A$ alone can do it in $6$ days, $B$ alone can do it in $8$ days. $C$ alone finish it in $12$ days. Find the share of each.

$A$ is twice as good as a workman as $B$ and together they finish a piece of work in $18$ days. In how many days will $B$ alone finish the work?

$A$ can do a piece of work in $9$ days, $B$ can do a piece of work in $12$ days. If they work in alternative days, beginning with the person $A$ in how many days the work will be completed?

Worker $A$ takes $8$ hours to do a job. Worker $B$ takes $10$ hours to do the same job. How long should it take both $A$ and $B$, working together but independently, to do the same job?

If a pipe fills a tank in $A$ minutes and another pipe empties the same tank in $B$ minutes. Then in how much time the tank will be filled completely when both the pipes are opened simultaneously?

If a pipe fills a tank in $A$ minutes and another pipe fills the same tank in $B$ minutes. Then in how much time the tank will be filled completely when both the pipes are opened simultaneously?

$5$ workers together earn $\mathrm{₹} 4160$ per day. If $1$ man earns $₹k$ per day, then find the value of $k$.

$\mathrm{A}$ can complete a piece of work in $12$ days while $\mathrm{B}$ can do the same work in $8$ days. With the help of $\mathrm{C}$, they complete the work in $4$ days. How long will $\mathrm{C}$ take to finish the work alone?

 If a pipe fills a tank in $20$ minutes and a pipe empties the same tank in $60$ minutes. Then in how much time (in minutes) the tank will be filled completely if both the pipes are opened together?

Priya and Debu individually completes a work in $3 \mathrm{hours}$ and $6 \mathrm{hours}$ respectively. If they do the work together, then calculate in how many hours they will complete the work ?