Compound rule of three

In a custom clothing store, $3$ thermal printing machines manage to print $120$ T-shirts working for $4$ hours. If due to an urgent order from a high school $5$ identical machines are started up, how many T-shirts will they be able to print in $6$ hours?

An animal shelter needs $480$ kg of feed to feed $40$ dogs for $30$ days. If the shelter receives a donation and increases its capacity to $60$ dogs, how many kilograms of feed will they need to feed them for $20$ days?

In a water recycling plant, $8$ identical treatment units filter $2400$ cubic meters of water over a period of $5$ days. How many cubic meters of water will $12$ treatment units filter if they run for $7$ days?

Five decorative water fountains, with the same flow rate, consume $300$ liters of water if they are turned on for $8$ hours. Calculate how many liters $10$ identical fountains will consume if they are kept on for only $2$ hours.

A group of $4$ travel content creators managed to edit $12$ videos for their channel working $6$ hours a day for a week. If $2$ more collaborators join the team next month and decide to work $8$ hours a day, how many videos will they be able to edit in the same period of time?

To upload the files of a new video game to a server, $4$ identical fiber optic connections take $15$ minutes to transfer $120$ GB. If we want to transfer $200$ GB to the same server using $5$ identical connections, how many minutes will it take?

A courier company uses $8$ drones to deliver $160$ parcels in $4$ flight hours. If the company decides to increase its fleet to $10$ drones and wants to deliver $250$ parcels, how many total flight hours will the drones need to complete the task?

Three identical taps fill a tank of $10$ $m^3$ in $6$ hours. If we want to fill a pond of $25$ $m^3$ using $5$ taps with the same flow rate as before, how many hours will we need?

A team of $6$ municipal workers cleans a beach area of $1500$ $m^2$ in $5$ hours. For the next cleaning day, the municipality has $8$ workers, but the area to be cleaned is $2800$ $m^2$. Calculate how long it will take them to finish the job.

To print $1200$ advertising posters, $4$ industrial printers have been running for $15$ hours. If one of the printers breaks down and we need to print $1800$ posters for a new campaign, how many hours must the remaining printers work?

A team of $12$ archaeologists excavated a $60$-meter section of an ancient Roman road working for $9$ days at a rate of $7$ hours per day. If they want to excavate another $80$-meter section in $14$ days, how many hours per day must they work if the team keeps the same number of people?

In an animal rescue center, it has been calculated that $15$ bags of dry food of $20\text{ kg}$ each are sufficient to feed $40$ dogs for $12$ days. Due to a rescue campaign, the number of dogs increases by $20$ more animals. If the center buys bags of $30\text{ kg}$ of the same food, how many bags will they need to feed all the dogs for $25$ days?

To print the flyers for a music festival, $3$ industrial printers working simultaneously take $15$ hours to print $4,500$ copies. One of the printers breaks down and must be removed. How long will it take the remaining printers to print $6,000$ copies if, to compensate for the missing third machine, the printing speed of the other two is increased by $25\text{ \%}$? (Hint: think about how the increase in speed affects the time required).

Six tanker trucks of $12,000\text{ L}$ capacity each made $4$ trips to empty an industrial waste container in $2$ days. If $2$ more trucks of $15,000\text{ L}$ capacity each are hired to do a similar job emptying a container that is $50\text{ \%}$ larger than the previous one, how many days will it take them to complete the emptying if each truck makes $5$ trips per day?

A group of $5$ identical taps takes $8$ hours to fill $3$ tanks of $600$ liters each. If we want to fill $4$ tanks of $900$ liters each in a maximum time of $10$ hours, how many taps with the same characteristics will we need to turn on? If the result is not an integer, explain the minimum number of taps we should install.

A team of $4$ programmers developed a mobile app with $180$ screens in $15$ days, dedicating $6$ hours per day each. For a new project of a more complex app with $300$ screens, the company has $20$ days available. If they decide to hire $2$ more programmers and increase the working day to $8$ hours per day, calculate whether they will be able to deliver the project on time and how many screens per day on average the full team will develop now.

A sports footwear factory produced $2,400$ pairs of sneakers in $10$ days working with $12$ automatic machines for $16$ hours a day. Due to an urgent order from an international distributor, the factory must produce $3,600$ pairs in only $8$ days. If they bought $3$ additional machines with the same characteristics, how many extra hours per day, above the usual $16$, will all the machines have to run to meet the deadline?

A municipal cleaning team, consisting of $12$ workers, managed to clean an area of $3,600\text{ m}^2$ of woodland in $6$ days, working $8$ hours per day. For next week, the municipality needs to clean an area of $5,000\text{ m}^2$. If $3$ workers are out sick and cannot attend, how many hours per day must the remaining workers work to finish the task in only $5$ days?

A video game server farm uses $8$ cooling units to maintain the optimal temperature for $120$ servers running for $24$ hours a day, with an electricity cost of $\text{RD\$}\ 480$ a week. If the company decides to expand its capacity to $200$ servers and the price of electricity rises, so that the maximum allowed cost is $\text{RD\$}\ 600$, for how many hours a day can the servers be switched on if the same $8$ cooling units are kept? (Assume that the cost is directly proportional to the number of servers and the hours of use).