Ratios and Proportions

A supply sergeant is distributing $560$ pairs of cold-weather boots between two infantry companies (Company Alpha and Company Bravo) in a ratio of $3:4$. How many MORE pairs of boots does Company Bravo receive than Company Alpha?

A cybersecurity task force is composed of junior analysts and senior specialists in a ratio of $7:2$. If the task force has a total of $126$ members, how many senior specialists are on the team?

A naval supply officer is allocating a $\$4,500$ monthly discretionary budget among three ship departments—Deck, Engineering, and Operations—in a ratio of $4:5:6$, respectively. Calculate the specific funding amounts based on this ratio.

An operations chief needs to verify the hourly fuel consumption for a deployed mechanized unit. Match each asset's usage report to its calculated unit rate in gallons per hour.

A refueling tanker transfers $450$ gallons of aviation fuel into an aircraft in $15$ minutes. What is the tanker's transfer rate in gallons per hour?

A signal corps detachment has a continuous spool of tactical fiber optic cable that is $240$ meters long. A technician must cut the entire spool into three separate sections to establish command, perimeter, and relay links in a ratio of $2:3:5$ respectively. What is the length of the shortest section in centimeters?

A communications platoon is distributing a shipment of $8,400$ replacement radio batteries among three forward operating bases (FOB Alpha, FOB Bravo, and FOB Charlie) in a ratio of $4:5:6$, respectively. Based on this ratio, how many batteries will FOB Charlie receive?

A tactical communications array transmits $1,800$ megabytes of encrypted data in $4.5$ minutes. At this constant rate, how many megabytes of data does the array transmit in $18$ seconds?

A military textile facility produces $1,200$ combat uniform shirts over a standard $5$-day workweek. If the facility operates for a single $8$-hour shift each day, what is the facility's production rate in shirts per hour?

A shipyard damage control team is evaluating four auxiliary water pumps. Match each pump's performance test results to its calculated unit rate in gallons per minute (GPM).

A combat engineer battalion is clearing debris from a damaged supply route. They are able to clear $1,800$ square feet of the route in $45$ minutes. Operating at this constant rate, what is the battalion's clearance rate in square feet per hour?

A field kitchen consumes $15$ pounds of coffee over a $4$-hour breakfast service. What is the unit rate of coffee consumption, in ounces per hour?

A mobile water purification system can process $5,400$ gallons of water in $1.5$ hours. What is the unit rate of water processed, in gallons per minute?

A logistics command is tracking the movement of four supply convoys traveling along different routes. Match each convoy's travel data to its correct average unit rate in miles per hour (mph).

An automated packaging system at a military supply center processes $4,500$ ration kits in $2.5$ hours. What is the unit rate of the system in ration kits per minute?

A high-capacity water pump transfers $840$ gallons of water in $15$ minutes. Operating at this exact constant rate, how many gallons of water will the pump transfer in $3.5$ hours?

A medical logistics unit processes $3,600$ standard first-aid kits in $45$ minutes. What is the unit rate of processing in kits per hour?

A base quartermaster is evaluating the fuel efficiency of four different portable power generators. Match each generator's fuel consumption data to its correct unit rate in gallons per hour.

A supply depot crew loads $1,350$ cargo crates onto transport aircraft in $4.5$ hours. Assuming a constant work pace, how many crates does the crew load per minute?

A quartermaster issues $1,050$ uniform shirts to new recruits over the course of a $3$-hour and $30$-minute processing block. Assuming a constant pace, what is the unit rate of shirts issued per minute?